analysis.inner_product_space.basic ⟷ Mathlib.Analysis.InnerProductSpace.Basic

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -8,7 +8,7 @@ import Analysis.Complex.Basic
 import Analysis.Convex.Uniform
 import Analysis.NormedSpace.Completion
 import Analysis.NormedSpace.BoundedLinearMaps
-import LinearAlgebra.BilinearForm
+import LinearAlgebra.BilinearForm.Basic
 
 #align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 
@@ -70,11 +70,11 @@ The Coq code is available at the following address: <http://www.lri.fr/~sboldo/e
 
 noncomputable section
 
-open IsROrC Real Filter
+open RCLike Real Filter
 
 open scoped BigOperators Topology ComplexConjugate
 
-variable {𝕜 E F : Type _} [IsROrC 𝕜]
+variable {𝕜 E F : Type _} [RCLike 𝕜]
 
 #print Inner /-
 /-- Syntactic typeclass for types endowed with an inner product -/
@@ -105,7 +105,7 @@ spaces.
 
 To construct a norm from an inner product, see `inner_product_space.of_core`.
 -/
-class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] [NormedAddCommGroup E] extends
+class InnerProductSpace (𝕜 : Type _) (E : Type _) [RCLike 𝕜] [NormedAddCommGroup E] extends
     NormedSpace 𝕜 E, Inner 𝕜 E where
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
   conj_symm : ∀ x y, conj (inner y x) = inner x y
@@ -137,7 +137,7 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 /-- A structure requiring that a scalar product is positive definite and symmetric, from which one
 can construct an `inner_product_space` instance in `inner_product_space.of_core`. -/
 @[nolint has_nonempty_instance]
-structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [IsROrC 𝕜] [AddCommGroup F]
+structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [RCLike 𝕜] [AddCommGroup F]
     [Module 𝕜 F] extends Inner 𝕜 F where
   conj_symm : ∀ x y, conj (inner y x) = inner x y
   nonneg_re : ∀ x, 0 ≤ re (inner x x)
@@ -172,11 +172,11 @@ variable [AddCommGroup F] [Module 𝕜 F] [c : InnerProductSpace.Core 𝕜 F]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 F _ x y
 
-local notation "norm_sqK" => @IsROrC.normSq 𝕜 _
+local notation "norm_sqK" => @RCLike.normSq 𝕜 _
 
-local notation "reK" => @IsROrC.re 𝕜 _
+local notation "reK" => @RCLike.re 𝕜 _
 
-local notation "ext_iff" => @IsROrC.ext_iff 𝕜 _
+local notation "ext_iff" => @RCLike.ext_iff 𝕜 _
 
 local postfix:90 "†" => starRingEnd _
 
@@ -360,7 +360,7 @@ theorem cauchy_schwarz_aux (x y : F) :
   rw [← @of_real_inj 𝕜, coe_norm_sq_eq_inner_self]
   simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, conj_of_real, mul_sub, ←
     coe_norm_sq_eq_inner_self x, ← coe_norm_sq_eq_inner_self y]
-  rw [← mul_assoc, mul_conj, IsROrC.conj_mul, norm_sq_eq_def', mul_left_comm, ← inner_conj_symm y,
+  rw [← mul_assoc, mul_conj, RCLike.conj_mul, norm_sq_eq_def', mul_left_comm, ← inner_conj_symm y,
     mul_conj, norm_sq_eq_def']
   push_cast
   ring
@@ -452,8 +452,8 @@ def toNormedSpace : NormedSpace 𝕜 F
     where norm_smul_le r x :=
     by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
-    rw [IsROrC.conj_mul, of_real_mul_re, sqrt_mul, ← coe_norm_sq_eq_inner_self, of_real_re]
-    · simp [sqrt_norm_sq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
+    rw [RCLike.conj_mul, of_real_mul_re, sqrt_mul, ← coe_norm_sq_eq_inner_self, of_real_re]
+    · simp [sqrt_norm_sq_eq_norm, RCLike.sqrt_normSq_eq_norm]
     · exact norm_sq_nonneg r
 #align inner_product_space.core.to_normed_space InnerProductSpace.Core.toNormedSpace
 -/
@@ -493,7 +493,7 @@ variable [dec_E : DecidableEq E]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
-local notation "IK" => @IsROrC.i 𝕜 _
+local notation "IK" => @RCLike.i 𝕜 _
 
 local postfix:90 "†" => starRingEnd _
 
@@ -702,7 +702,7 @@ theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
 #print inner_self_ofReal_re /-
 @[simp]
 theorem inner_self_ofReal_re (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
-  ((IsROrC.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
+  ((RCLike.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
 #align inner_self_re_to_K inner_self_ofReal_re
 -/
 
@@ -786,7 +786,7 @@ theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 #print inner_self_conj /-
 @[simp]
 theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := by
-  rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im, neg_zero]⟩
+  rw [RCLike.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im, neg_zero]⟩
 #align inner_self_conj inner_self_conj
 -/
 
@@ -1163,8 +1163,8 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
 #align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (w «expr ⊇ » s) -/
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (u «expr ⊇ » w) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (w «expr ⊇ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 #print exists_maximal_orthonormal /-
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/
@@ -1915,8 +1915,8 @@ theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r
   have hx' : ‖x‖ ≠ 0 := by simp [hx]
   have hr' : ‖r‖ ≠ 0 := by simp [hr]
   rw [inner_smul_right, norm_mul, ← inner_self_re_eq_norm, inner_self_eq_norm_mul_norm, norm_smul]
-  rw [← mul_assoc, ← div_div, mul_div_cancel _ hx', ← div_div, mul_comm, mul_div_cancel _ hr',
-    div_self hx']
+  rw [← mul_assoc, ← div_div, mul_div_cancel_right₀ _ hx', ← div_div, mul_comm,
+    mul_div_cancel_right₀ _ hr', div_self hx']
 #align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 -/
 
@@ -2309,7 +2309,7 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
   simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, inner_sum]
   simp only [sum_inner, two_mul, inner_smul_right, inner_conj_symm, ← mul_assoc, h₂, ← h₃,
     inner_conj_symm, map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib, inner_smul_left,
-    add_sub_cancel']
+    add_sub_cancel_left]
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
 -/
 
@@ -2341,23 +2341,23 @@ theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
 
 end BesselsInequality
 
-#print IsROrC.innerProductSpace /-
+#print RCLike.innerProductSpace /-
 /-- A field `𝕜` satisfying `is_R_or_C` is itself a `𝕜`-inner product space. -/
-instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
+instance RCLike.innerProductSpace : InnerProductSpace 𝕜 𝕜
     where
   inner x y := conj x * y
   norm_sq_eq_inner x := by unfold inner; rw [mul_comm, mul_conj, of_real_re, norm_sq_eq_def']
   conj_symm x y := by simp only [mul_comm, map_mul, starRingEnd_self_apply]
   add_left x y z := by simp only [add_mul, map_add]
   smul_left x y z := by simp only [mul_assoc, smul_eq_mul, map_mul]
-#align is_R_or_C.inner_product_space IsROrC.innerProductSpace
+#align is_R_or_C.inner_product_space RCLike.innerProductSpace
 -/
 
-#print IsROrC.inner_apply /-
+#print RCLike.inner_apply /-
 @[simp]
-theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
+theorem RCLike.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
   rfl
-#align is_R_or_C.inner_apply IsROrC.inner_apply
+#align is_R_or_C.inner_apply RCLike.inner_apply
 -/
 
 /-! ### Inner product space structure on subspaces -/
@@ -2647,20 +2647,20 @@ variable {G : Type _}
 
 variable (𝕜 E)
 
-#print Inner.isROrCToReal /-
+#print Inner.rclikeToReal /-
 /-- A general inner product implies a real inner product. This is not registered as an instance
 since it creates problems with the case `𝕜 = ℝ`. -/
-def Inner.isROrCToReal : Inner ℝ E where inner x y := re ⟪x, y⟫
-#align has_inner.is_R_or_C_to_real Inner.isROrCToReal
+def Inner.rclikeToReal : Inner ℝ E where inner x y := re ⟪x, y⟫
+#align has_inner.is_R_or_C_to_real Inner.rclikeToReal
 -/
 
-#print InnerProductSpace.isROrCToReal /-
+#print InnerProductSpace.rclikeToReal /-
 /-- A general inner product space structure implies a real inner product structure. This is not
 registered as an instance since it creates problems with the case `𝕜 = ℝ`, but in can be used in a
 proof to obtain a real inner product space structure from a given `𝕜`-inner product space
 structure. -/
-def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
-  { Inner.isROrCToReal 𝕜 E,
+def InnerProductSpace.rclikeToReal : InnerProductSpace ℝ E :=
+  { Inner.rclikeToReal 𝕜 E,
     NormedSpace.restrictScalars ℝ 𝕜
       E with
     norm_sq_eq_inner := norm_sq_eq_inner
@@ -2671,21 +2671,21 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
     smul_left := fun x y r => by
       change re ⟪(r : 𝕜) • x, y⟫ = r * re ⟪x, y⟫
       simp only [inner_smul_left, conj_of_real, of_real_mul_re] }
-#align inner_product_space.is_R_or_C_to_real InnerProductSpace.isROrCToReal
+#align inner_product_space.is_R_or_C_to_real InnerProductSpace.rclikeToReal
 -/
 
 variable {E}
 
 #print real_inner_eq_re_inner /-
 theorem real_inner_eq_re_inner (x y : E) :
-    @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
+    @Inner.inner ℝ E (Inner.rclikeToReal 𝕜 E) x y = re ⟪x, y⟫ :=
   rfl
 #align real_inner_eq_re_inner real_inner_eq_re_inner
 -/
 
 #print real_inner_I_smul_self /-
 theorem real_inner_I_smul_self (x : E) :
-    @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x ((i : 𝕜) • x) = 0 := by
+    @Inner.inner ℝ E (Inner.rclikeToReal 𝕜 E) x ((i : 𝕜) • x) = 0 := by
   simp [real_inner_eq_re_inner, inner_smul_right]
 #align real_inner_I_smul_self real_inner_I_smul_self
 -/
@@ -2694,7 +2694,7 @@ theorem real_inner_I_smul_self (x : E) :
 /-- A complex inner product implies a real inner product -/
 instance InnerProductSpace.complexToReal [NormedAddCommGroup G] [InnerProductSpace ℂ G] :
     InnerProductSpace ℝ G :=
-  InnerProductSpace.isROrCToReal ℂ G
+  InnerProductSpace.rclikeToReal ℂ G
 #align inner_product_space.complex_to_real InnerProductSpace.complexToReal
 -/
 
@@ -2724,7 +2724,7 @@ section Continuous
 
 #print continuous_inner /-
 theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
-  letI : InnerProductSpace ℝ E := InnerProductSpace.isROrCToReal 𝕜 E
+  letI : InnerProductSpace ℝ E := InnerProductSpace.rclikeToReal 𝕜 E
   is_bounded_bilinear_map_inner.continuous
 #align continuous_inner continuous_inner
 -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -936,7 +936,7 @@ theorem orthonormal_iff_ite {v : ι → E} :
       have h' : ‖v i‖ ^ 2 = 1 ^ 2 := by simp [@norm_sq_eq_inner 𝕜, h i i]
       have h₁ : 0 ≤ ‖v i‖ := norm_nonneg _
       have h₂ : (0 : ℝ) ≤ 1 := zero_le_one
-      rwa [sq_eq_sq h₁ h₂] at h' 
+      rwa [sq_eq_sq h₁ h₂] at h'
     · intro i j hij
       simpa [hij] using h i j
 #align orthonormal_iff_ite orthonormal_iff_ite
@@ -1108,7 +1108,7 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
     (hi : i ∉ s) {l : ι →₀ 𝕜} (hl : l ∈ Finsupp.supported 𝕜 𝕜 s) :
     ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = 0 :=
   by
-  rw [Finsupp.mem_supported'] at hl 
+  rw [Finsupp.mem_supported'] at hl
   simp only [hv.inner_left_finsupp, hl i hi, map_zero]
 #align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zero
 -/
@@ -1149,7 +1149,7 @@ theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Di
   rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
   obtain ⟨k, hik, hjk⟩ := hs i j
   have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
-  rw [orthonormal_subtype_iff_ite] at h_orth 
+  rw [orthonormal_subtype_iff_ite] at h_orth
   exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 -/
@@ -1672,7 +1672,7 @@ isometric equivalence. -/
 def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (hf : Orthonormal 𝕜 (f ∘ v)) : E ≃ₗᵢ[𝕜] E' :=
   f.isometryOfInner fun x y => by
-    rw [← LinearEquiv.coe_coe] at hf 
+    rw [← LinearEquiv.coe_coe] at hf
     rw [← v.total_repr x, ← v.total_repr y, ← LinearEquiv.coe_coe, Finsupp.apply_total,
       Finsupp.apply_total, hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormal
@@ -1863,7 +1863,7 @@ theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 
     sub_eq_zero, re_to_real]
   constructor
   · intro h
-    rw [add_comm] at h 
+    rw [add_comm] at h
     linarith
   · intro h
     linarith
@@ -1964,11 +1964,11 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
   · refine' fun h => Classical.or_iff_not_imp_left.2 fun hx₀ => _
     have : ‖x‖ ^ 2 ≠ 0 := pow_ne_zero _ (norm_ne_zero_iff.2 hx₀)
     rw [← sq_eq_sq (norm_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _)), mul_pow, ←
-      mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h 
-    simp only [@norm_sq_eq_inner 𝕜] at h 
+      mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h
+    simp only [@norm_sq_eq_inner 𝕜] at h
     letI : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
     erw [← InnerProductSpace.Core.cauchy_schwarz_aux, InnerProductSpace.Core.normSq_eq_zero,
-      sub_eq_zero] at h 
+      sub_eq_zero] at h
     rw [div_eq_inv_mul, mul_smul, h, inv_smul_smul₀]
     rwa [inner_self_ne_zero]
   tfae_have 2 → 3; exact fun h => h.imp_right fun h' => ⟨_, h'⟩
@@ -2032,7 +2032,7 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y :=
   by
   have h₀' := h₀
-  rw [← norm_ne_zero_iff, Ne.def, ← @of_real_eq_zero 𝕜] at h₀' 
+  rw [← norm_ne_zero_iff, Ne.def, ← @of_real_eq_zero 𝕜] at h₀'
   constructor <;> intro h
   · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
       ((@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
@@ -2618,7 +2618,7 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
   rw [← @LinearMap.ker_eq_bot _ _ _ _ _ _ (DirectSum.addCommGroup fun i => V i),
     Submodule.eq_bot_iff]
   intro v hv
-  rw [LinearMap.mem_ker] at hv 
+  rw [LinearMap.mem_ker] at hv
   ext i
   suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
   calc

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -963,7 +963,8 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
-    ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by classical
+    ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by
+  classical simp [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv]
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 -/
 
@@ -971,7 +972,8 @@ theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
-    {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by classical
+    {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by
+  classical simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 -/
 
@@ -996,7 +998,9 @@ theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
-    {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by classical
+    {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by
+  classical simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
+    Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 -/
 
@@ -1045,7 +1049,8 @@ The double sum of weighted inner products of pairs of vectors from an orthonorma
 sum of the weights.
 -/
 theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv : Orthonormal 𝕜 v)
-    {a : ι → ι → 𝕜} : ∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫ = ∑ k in s, a k k := by classical
+    {a : ι → ι → 𝕜} : ∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫ = ∑ k in s, a k k := by
+  classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 -/
 
@@ -1065,7 +1070,12 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
 /-- A subfamily of an orthonormal family (i.e., a composition with an injective map) is an
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
-    (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by classical
+    (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
+  classical
+  rw [orthonormal_iff_ite] at hv ⊢
+  intro i j
+  convert hv (f i) (f j) using 1
+  simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
 -/
 
@@ -1107,7 +1117,13 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
-    (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by classical
+    (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
+  classical
+  rw [orthonormal_iff_ite] at *
+  intro i j
+  cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
+    simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
+      neg_eq_zero] using hv i j
 #align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
 -/
 
@@ -1117,7 +1133,8 @@ adapted from the corresponding development of the theory of linearly independent
 variable (𝕜 E)
 
 #print orthonormal_empty /-
-theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by classical
+theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
+  classical simp [orthonormal_subtype_iff_ite]
 #align orthonormal_empty orthonormal_empty
 -/
 
@@ -1126,7 +1143,14 @@ variable {𝕜 E}
 #print orthonormal_iUnion_of_directed /-
 theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
-  by classical
+  by
+  classical
+  rw [orthonormal_subtype_iff_ite]
+  rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
+  obtain ⟨k, hik, hjk⟩ := hs i j
+  have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
+  rw [orthonormal_subtype_iff_ite] at h_orth 
+  exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 -/
 
@@ -1586,7 +1610,8 @@ theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
 #print LinearIsometry.orthonormal_comp_iff /-
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
-    Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by classical
+    Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by
+  classical simp_rw [orthonormal_iff_ite, LinearIsometry.inner_map_map]
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 -/
 
@@ -2442,13 +2467,29 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
 
 #print OrthogonalFamily.inner_right_fintype /-
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
-    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by classical
+    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
+  classical calc
+    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
+    _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
+      (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
+    _ = ⟪v, l i⟫ := by simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 -/
 
 #print OrthogonalFamily.inner_sum /-
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
-    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by classical
+    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
+  classical calc
+    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
+      by simp only [sum_inner, inner_sum]
+    _ = ∑ j in s, ∑ i in s, ite (i = j) ⟪V i (l₁ i), V j (l₂ j)⟫ 0 :=
+      by
+      congr with i
+      congr with j
+      apply hV.eq_ite
+    _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
+      simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map, imp_self,
+        imp_true_iff]
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 -/
 
@@ -2520,7 +2561,48 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
 `(λ i, ‖f i‖ ^ 2)` is summable. -/
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
-    (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by classical
+    (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by
+  classical
+  simp only [summable_iff_cauchySeq_finset, NormedAddCommGroup.cauchySeq_iff, Real.norm_eq_abs]
+  constructor
+  · intro hf ε hε
+    obtain ⟨a, H⟩ := hf _ (sqrt_pos.mpr hε)
+    use a
+    intro s₁ hs₁ s₂ hs₂
+    rw [← Finset.sum_sdiff_sub_sum_sdiff]
+    refine' (abs_sub _ _).trans_lt _
+    have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
+    simp only [Finset.abs_sum_of_nonneg' this]
+    have : ∑ i in s₁ \ s₂, ‖f i‖ ^ 2 + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 < sqrt ε ^ 2 :=
+      by
+      rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
+        abs_of_nonneg (norm_nonneg _)]
+      exact H s₁ hs₁ s₂ hs₂
+    have hη := sq_sqrt (le_of_lt hε)
+    linarith
+  · intro hf ε hε
+    have hε' : 0 < ε ^ 2 / 2 := half_pos (sq_pos_of_pos hε)
+    obtain ⟨a, H⟩ := hf _ hε'
+    use a
+    intro s₁ hs₁ s₂ hs₂
+    refine' (abs_lt_of_sq_lt_sq' _ (le_of_lt hε)).2
+    have has : a ≤ s₁ ⊓ s₂ := le_inf hs₁ hs₂
+    rw [hV.norm_sq_diff_sum]
+    have Hs₁ : ∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2 < ε ^ 2 / 2 :=
+      by
+      convert H _ hs₁ _ has
+      have : s₁ ⊓ s₂ ⊆ s₁ := Finset.inter_subset_left _ _
+      rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
+      · simp
+      · exact fun i => sq_nonneg _
+    have Hs₂ : ∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2 < ε ^ 2 / 2 :=
+      by
+      convert H _ hs₂ _ has
+      have : s₁ ⊓ s₂ ⊆ s₂ := Finset.inter_subset_right _ _
+      rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
+      · simp
+      · exact fun i => sq_nonneg _
+    linarith
 #align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summable
 -/
 
@@ -2530,7 +2612,20 @@ elements each from a different subspace in the family is linearly independent. I
 pairwise intersections of elements of the family are 0. -/
 theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ) :
-    CompleteLattice.Independent V := by classical
+    CompleteLattice.Independent V := by
+  classical
+  apply CompleteLattice.independent_of_dfinsupp_lsum_injective
+  rw [← @LinearMap.ker_eq_bot _ _ _ _ _ _ (DirectSum.addCommGroup fun i => V i),
+    Submodule.eq_bot_iff]
+  intro v hv
+  rw [LinearMap.mem_ker] at hv 
+  ext i
+  suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
+  calc
+    ⟪(v i : E), v i⟫ = ⟪(v i : E), DFinsupp.lsum ℕ (fun i => (V i).Subtype) v⟫ := by
+      simpa only [DFinsupp.sumAddHom_apply, DFinsupp.lsum_apply_apply] using
+        (hV.inner_right_dfinsupp v i (v i)).symm
+    _ = 0 := by simp only [hv, inner_zero_right]
 #align orthogonal_family.independent OrthogonalFamily.independent
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -963,8 +963,7 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
-    ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by
-  classical simp [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv]
+    ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by classical
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 -/
 
@@ -972,8 +971,7 @@ theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
-    {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by
-  classical simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
+    {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by classical
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 -/
 
@@ -998,9 +996,7 @@ theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
-    {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by
-  classical simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
-    Finset.sum_ite_eq', if_true]
+    {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by classical
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 -/
 
@@ -1049,8 +1045,7 @@ The double sum of weighted inner products of pairs of vectors from an orthonorma
 sum of the weights.
 -/
 theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv : Orthonormal 𝕜 v)
-    {a : ι → ι → 𝕜} : ∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫ = ∑ k in s, a k k := by
-  classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
+    {a : ι → ι → 𝕜} : ∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫ = ∑ k in s, a k k := by classical
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 -/
 
@@ -1070,12 +1065,7 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
 /-- A subfamily of an orthonormal family (i.e., a composition with an injective map) is an
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
-    (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
-  classical
-  rw [orthonormal_iff_ite] at hv ⊢
-  intro i j
-  convert hv (f i) (f j) using 1
-  simp [hf.eq_iff]
+    (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by classical
 #align orthonormal.comp Orthonormal.comp
 -/
 
@@ -1117,13 +1107,7 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
-    (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
-  classical
-  rw [orthonormal_iff_ite] at *
-  intro i j
-  cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
-    simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
-      neg_eq_zero] using hv i j
+    (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by classical
 #align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
 -/
 
@@ -1133,8 +1117,7 @@ adapted from the corresponding development of the theory of linearly independent
 variable (𝕜 E)
 
 #print orthonormal_empty /-
-theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
-  classical simp [orthonormal_subtype_iff_ite]
+theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by classical
 #align orthonormal_empty orthonormal_empty
 -/
 
@@ -1143,14 +1126,7 @@ variable {𝕜 E}
 #print orthonormal_iUnion_of_directed /-
 theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
-  by
-  classical
-  rw [orthonormal_subtype_iff_ite]
-  rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
-  obtain ⟨k, hik, hjk⟩ := hs i j
-  have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
-  rw [orthonormal_subtype_iff_ite] at h_orth 
-  exact h_orth x (hik hxi) y (hjk hyj)
+  by classical
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 -/
 
@@ -1610,8 +1586,7 @@ theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
 #print LinearIsometry.orthonormal_comp_iff /-
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
-    Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by
-  classical simp_rw [orthonormal_iff_ite, LinearIsometry.inner_map_map]
+    Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by classical
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 -/
 
@@ -2467,29 +2442,13 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
 
 #print OrthogonalFamily.inner_right_fintype /-
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
-    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
-  classical calc
-    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
-    _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
-      (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
-    _ = ⟪v, l i⟫ := by simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
+    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by classical
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 -/
 
 #print OrthogonalFamily.inner_sum /-
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
-    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
-  classical calc
-    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
-      by simp only [sum_inner, inner_sum]
-    _ = ∑ j in s, ∑ i in s, ite (i = j) ⟪V i (l₁ i), V j (l₂ j)⟫ 0 :=
-      by
-      congr with i
-      congr with j
-      apply hV.eq_ite
-    _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
-      simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map, imp_self,
-        imp_true_iff]
+    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by classical
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 -/
 
@@ -2561,48 +2520,7 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
 `(λ i, ‖f i‖ ^ 2)` is summable. -/
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
-    (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by
-  classical
-  simp only [summable_iff_cauchySeq_finset, NormedAddCommGroup.cauchySeq_iff, Real.norm_eq_abs]
-  constructor
-  · intro hf ε hε
-    obtain ⟨a, H⟩ := hf _ (sqrt_pos.mpr hε)
-    use a
-    intro s₁ hs₁ s₂ hs₂
-    rw [← Finset.sum_sdiff_sub_sum_sdiff]
-    refine' (abs_sub _ _).trans_lt _
-    have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
-    simp only [Finset.abs_sum_of_nonneg' this]
-    have : ∑ i in s₁ \ s₂, ‖f i‖ ^ 2 + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 < sqrt ε ^ 2 :=
-      by
-      rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
-        abs_of_nonneg (norm_nonneg _)]
-      exact H s₁ hs₁ s₂ hs₂
-    have hη := sq_sqrt (le_of_lt hε)
-    linarith
-  · intro hf ε hε
-    have hε' : 0 < ε ^ 2 / 2 := half_pos (sq_pos_of_pos hε)
-    obtain ⟨a, H⟩ := hf _ hε'
-    use a
-    intro s₁ hs₁ s₂ hs₂
-    refine' (abs_lt_of_sq_lt_sq' _ (le_of_lt hε)).2
-    have has : a ≤ s₁ ⊓ s₂ := le_inf hs₁ hs₂
-    rw [hV.norm_sq_diff_sum]
-    have Hs₁ : ∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2 < ε ^ 2 / 2 :=
-      by
-      convert H _ hs₁ _ has
-      have : s₁ ⊓ s₂ ⊆ s₁ := Finset.inter_subset_left _ _
-      rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
-      · simp
-      · exact fun i => sq_nonneg _
-    have Hs₂ : ∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2 < ε ^ 2 / 2 :=
-      by
-      convert H _ hs₂ _ has
-      have : s₁ ⊓ s₂ ⊆ s₂ := Finset.inter_subset_right _ _
-      rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
-      · simp
-      · exact fun i => sq_nonneg _
-    linarith
+    (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by classical
 #align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summable
 -/
 
@@ -2612,20 +2530,7 @@ elements each from a different subspace in the family is linearly independent. I
 pairwise intersections of elements of the family are 0. -/
 theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ) :
-    CompleteLattice.Independent V := by
-  classical
-  apply CompleteLattice.independent_of_dfinsupp_lsum_injective
-  rw [← @LinearMap.ker_eq_bot _ _ _ _ _ _ (DirectSum.addCommGroup fun i => V i),
-    Submodule.eq_bot_iff]
-  intro v hv
-  rw [LinearMap.mem_ker] at hv 
-  ext i
-  suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
-  calc
-    ⟪(v i : E), v i⟫ = ⟪(v i : E), DFinsupp.lsum ℕ (fun i => (V i).Subtype) v⟫ := by
-      simpa only [DFinsupp.sumAddHom_apply, DFinsupp.lsum_apply_apply] using
-        (hV.inner_right_dfinsupp v i (v i)).symm
-    _ = 0 := by simp only [hv, inner_zero_right]
+    CompleteLattice.Independent V := by classical
 #align orthogonal_family.independent OrthogonalFamily.independent
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -2788,7 +2788,7 @@ theorem ContinuousLinearMap.reApplyInnerSelf_apply (T : E →L[𝕜] E) (x : E)
 #print ContinuousLinearMap.reApplyInnerSelf_continuous /-
 theorem ContinuousLinearMap.reApplyInnerSelf_continuous (T : E →L[𝕜] E) :
     Continuous T.reApplyInnerSelf :=
-  reClm.Continuous.comp <| T.Continuous.inner continuous_id
+  reCLM.Continuous.comp <| T.Continuous.inner continuous_id
 #align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuous
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -1447,7 +1447,7 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
       (congr_arg sqrt <|
         by
         field_simp [sq, norm_sub_mul_self_real, norm_smul, real_inner_smul_left, inner_smul_right,
-          Real.norm_of_nonneg (mul_self_nonneg _)]
+          Real.norm_of_nonneg (hMul_self_nonneg _)]
         ring)
     _ = R ^ 2 / (‖x‖ * ‖y‖) * dist x y := by
       rw [sqrt_mul (sq_nonneg _), sqrt_sq (norm_nonneg _),
@@ -1799,7 +1799,7 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
 theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     ‖x + y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
   rw [← norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, eq_comm,
-    sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
+    sqrt_eq_iff_mul_self_eq (add_nonneg (hMul_self_nonneg _) (hMul_self_nonneg _)) (norm_nonneg _)]
 #align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zero
 -/
 
@@ -1840,7 +1840,7 @@ roots. -/
 theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     ‖x - y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
   rw [← norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, eq_comm,
-    sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
+    sqrt_eq_iff_mul_self_eq (add_nonneg (hMul_self_nonneg _) (hMul_self_nonneg _)) (norm_nonneg _)]
 #align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zero
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -1469,7 +1469,7 @@ instance (priority := 100) InnerProductSpace.toUniformConvexSpace : UniformConve
     refine' le_sqrt_of_sq_le _
     rw [sq, eq_sub_iff_add_eq.2 (parallelogram_law_with_norm ℝ x y), ← sq ‖x - y‖, hx, hy]
     norm_num
-    exact pow_le_pow_of_le_left hε.le hxy _⟩
+    exact pow_le_pow_left hε.le hxy _⟩
 #align inner_product_space.to_uniform_convex_space InnerProductSpace.toUniformConvexSpace
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -2308,8 +2308,8 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
   rw [@norm_sub_sq 𝕜, sub_add]
   simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, inner_sum]
   simp only [sum_inner, two_mul, inner_smul_right, inner_conj_symm, ← mul_assoc, h₂, ← h₃,
-    inner_conj_symm, AddMonoidHom.map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib,
-    inner_smul_left, add_sub_cancel']
+    inner_conj_symm, map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib, inner_smul_left,
+    add_sub_cancel']
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -1961,7 +1961,7 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
         x = 0 ∨ y ∈ 𝕜 ∙ x] :=
   by
   tfae_have 1 → 2
-  · refine' fun h => or_iff_not_imp_left.2 fun hx₀ => _
+  · refine' fun h => Classical.or_iff_not_imp_left.2 fun hx₀ => _
     have : ‖x‖ ^ 2 ≠ 0 := pow_ne_zero _ (norm_ne_zero_iff.2 hx₀)
     rw [← sq_eq_sq (norm_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _)), mul_pow, ←
       mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h 

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,12 +3,12 @@ Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 -/
-import Mathbin.Algebra.DirectSum.Module
-import Mathbin.Analysis.Complex.Basic
-import Mathbin.Analysis.Convex.Uniform
-import Mathbin.Analysis.NormedSpace.Completion
-import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
-import Mathbin.LinearAlgebra.BilinearForm
+import Algebra.DirectSum.Module
+import Analysis.Complex.Basic
+import Analysis.Convex.Uniform
+import Analysis.NormedSpace.Completion
+import Analysis.NormedSpace.BoundedLinearMaps
+import LinearAlgebra.BilinearForm
 
 #align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 
@@ -1163,8 +1163,8 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
 #align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (w «expr ⊇ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 #print exists_maximal_orthonormal /-
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -1266,7 +1266,7 @@ theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y
 #align norm_add_sq norm_add_sq
 -/
 
-alias norm_add_sq ← norm_add_pow_two
+alias norm_add_pow_two := norm_add_sq
 #align norm_add_pow_two norm_add_pow_two
 
 #print norm_add_sq_real /-
@@ -1276,7 +1276,7 @@ theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y
 #align norm_add_sq_real norm_add_sq_real
 -/
 
-alias norm_add_sq_real ← norm_add_pow_two_real
+alias norm_add_pow_two_real := norm_add_sq_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
 #print norm_add_mul_self /-
@@ -1302,7 +1302,7 @@ theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y
 #align norm_sub_sq norm_sub_sq
 -/
 
-alias norm_sub_sq ← norm_sub_pow_two
+alias norm_sub_pow_two := norm_sub_sq
 #align norm_sub_pow_two norm_sub_pow_two
 
 #print norm_sub_sq_real /-
@@ -1312,7 +1312,7 @@ theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y
 #align norm_sub_sq_real norm_sub_sq_real
 -/
 
-alias norm_sub_sq_real ← norm_sub_pow_two_real
+alias norm_sub_pow_two_real := norm_sub_sq_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
 #print norm_sub_mul_self /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

@@ -2328,12 +2328,12 @@ theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
 theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
     Summable fun i => ‖⟪v i, x⟫‖ ^ 2 :=
   by
-  use ⨆ s : Finset ι, ∑ i in s, ‖⟪v i, x⟫‖ ^ 2
+  use⨆ s : Finset ι, ∑ i in s, ‖⟪v i, x⟫‖ ^ 2
   apply hasSum_of_isLUB_of_nonneg
   · intro b
     simp only [norm_nonneg, pow_nonneg]
   · refine' isLUB_ciSup _
-    use ‖x‖ ^ 2
+    use‖x‖ ^ 2
     rintro y ⟨s, rfl⟩
     exact hv.sum_inner_products_le x
 #align orthonormal.inner_products_summable Orthonormal.inner_products_summable

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,11 +2,6 @@
 Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.DirectSum.Module
 import Mathbin.Analysis.Complex.Basic
@@ -15,6 +10,8 @@ import Mathbin.Analysis.NormedSpace.Completion
 import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
 import Mathbin.LinearAlgebra.BilinearForm
 
+#align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Inner product space
 
@@ -1166,8 +1163,8 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
 #align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (w «expr ⊇ » s) -/
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (u «expr ⊇ » w) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 #print exists_maximal_orthonormal /-
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/4e24c4bfcff371c71f7ba22050308aa17815626c

@@ -648,20 +648,20 @@ theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
 #align finsupp.inner_sum Finsupp.inner_sum
 -/
 
-#print Dfinsupp.sum_inner /-
-theorem Dfinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
+#print DFinsupp.sum_inner /-
+theorem DFinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.Sum f, x⟫ = l.Sum fun i a => ⟪f i a, x⟫ := by
-  simp (config := { contextual := true }) only [Dfinsupp.sum, sum_inner, smul_eq_mul]
-#align dfinsupp.sum_inner Dfinsupp.sum_inner
+  simp (config := { contextual := true }) only [DFinsupp.sum, sum_inner, smul_eq_mul]
+#align dfinsupp.sum_inner DFinsupp.sum_inner
 -/
 
-#print Dfinsupp.inner_sum /-
-theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
+#print DFinsupp.inner_sum /-
+theorem DFinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.Sum f⟫ = l.Sum fun i a => ⟪x, f i a⟫ := by
-  simp (config := { contextual := true }) only [Dfinsupp.sum, inner_sum, smul_eq_mul]
-#align dfinsupp.inner_sum Dfinsupp.inner_sum
+  simp (config := { contextual := true }) only [DFinsupp.sum, inner_sum, smul_eq_mul]
+#align dfinsupp.inner_sum DFinsupp.inner_sum
 -/
 
 #print inner_zero_left /-
@@ -2455,13 +2455,13 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
     ⟪V i v, l.Sum fun j => V j⟫ = ⟪v, l i⟫ :=
   calc
     ⟪V i v, l.Sum fun j => V j⟫ = l.Sum fun j => fun w => ⟪V i v, V j w⟫ :=
-      Dfinsupp.inner_sum (fun j => V j) l (V i v)
+      DFinsupp.inner_sum (fun j => V j) l (V i v)
     _ = l.Sum fun j => fun w => ite (i = j) ⟪V i v, V j w⟫ 0 :=
       (congr_arg l.Sum <| funext fun j => funext <| hV.eq_ite v)
     _ = ⟪v, l i⟫ :=
       by
-      simp only [Dfinsupp.sum, Submodule.coe_inner, Finset.sum_ite_eq, ite_eq_left_iff,
-        Dfinsupp.mem_support_toFun]
+      simp only [DFinsupp.sum, Submodule.coe_inner, Finset.sum_ite_eq, ite_eq_left_iff,
+        DFinsupp.mem_support_toFun]
       split_ifs with h h
       · simp only [LinearIsometry.inner_map_map]
       · simp only [of_not_not h, inner_zero_right]
@@ -2625,8 +2625,8 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
   ext i
   suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
   calc
-    ⟪(v i : E), v i⟫ = ⟪(v i : E), Dfinsupp.lsum ℕ (fun i => (V i).Subtype) v⟫ := by
-      simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
+    ⟪(v i : E), v i⟫ = ⟪(v i : E), DFinsupp.lsum ℕ (fun i => (V i).Subtype) v⟫ := by
+      simpa only [DFinsupp.sumAddHom_apply, DFinsupp.lsum_apply_apply] using
         (hV.inner_right_dfinsupp v i (v i)).symm
     _ = 0 := by simp only [hv, inner_zero_right]
 #align orthogonal_family.independent OrthogonalFamily.independent

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

@@ -1939,7 +1939,7 @@ itself, divided by the product of their norms, has value 1. -/
 theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : ℝ} (hx : x ≠ 0)
     (hr : 0 < r) : ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = 1 :=
   by
-  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (|r|),
+  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ |r|,
     mul_assoc, abs_of_nonneg hr.le, div_self]
   exact mul_ne_zero hr.ne' (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul
@@ -1951,7 +1951,7 @@ itself, divided by the product of their norms, has value -1. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r : ℝ} (hx : x ≠ 0)
     (hr : r < 0) : ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = -1 :=
   by
-  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (|r|),
+  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ |r|,
     mul_assoc, abs_of_neg hr, neg_mul, div_neg_eq_neg_div, div_self]
   exact mul_ne_zero hr.ne (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -88,18 +88,14 @@ class Inner (𝕜 E : Type _) where
 
 export Inner (inner)
 
--- mathport name: «expr⟪ , ⟫_ℝ»
 notation "⟪" x ", " y "⟫_ℝ" => @inner ℝ _ _ x y
 
--- mathport name: «expr⟪ , ⟫_ℂ»
 notation "⟪" x ", " y "⟫_ℂ" => @inner ℂ _ _ x y
 
 section Notations
 
--- mathport name: inner.real
 scoped[RealInnerProductSpace] notation "⟪" x ", " y "⟫" => @inner ℝ _ _ x y
 
--- mathport name: inner.complex
 scoped[ComplexInnerProductSpace] notation "⟪" x ", " y "⟫" => @inner ℂ _ _ x y
 
 end Notations
@@ -177,21 +173,14 @@ namespace InnerProductSpace.Core
 
 variable [AddCommGroup F] [Module 𝕜 F] [c : InnerProductSpace.Core 𝕜 F]
 
-include c
-
--- mathport name: «expr⟪ , ⟫»
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 F _ x y
 
--- mathport name: exprnorm_sqK
 local notation "norm_sqK" => @IsROrC.normSq 𝕜 _
 
--- mathport name: exprreK
 local notation "reK" => @IsROrC.re 𝕜 _
 
--- mathport name: exprext_iff
 local notation "ext_iff" => @IsROrC.ext_iff 𝕜 _
 
--- mathport name: «expr †»
 local postfix:90 "†" => starRingEnd _
 
 #print InnerProductSpace.Core.toInner' /-
@@ -212,110 +201,158 @@ def normSq (x : F) :=
 #align inner_product_space.core.norm_sq InnerProductSpace.Core.normSq
 -/
 
--- mathport name: exprnorm_sqF
 local notation "norm_sqF" => @normSq 𝕜 F _ _ _ _
 
+#print InnerProductSpace.Core.inner_conj_symm /-
 theorem inner_conj_symm (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
   c.conj_symm x y
 #align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symm
+-/
 
+#print InnerProductSpace.Core.inner_self_nonneg /-
 theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
 #align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonneg
+-/
 
+#print InnerProductSpace.Core.inner_self_im /-
 theorem inner_self_im (x : F) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
 #align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_im
+-/
 
+#print InnerProductSpace.Core.inner_add_left /-
 theorem inner_add_left (x y z : F) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   c.add_left _ _ _
 #align inner_product_space.core.inner_add_left InnerProductSpace.Core.inner_add_left
+-/
 
+#print InnerProductSpace.Core.inner_add_right /-
 theorem inner_add_right (x y z : F) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add] <;> simp only [inner_conj_symm]
 #align inner_product_space.core.inner_add_right InnerProductSpace.Core.inner_add_right
+-/
 
+#print InnerProductSpace.Core.ofReal_normSq_eq_inner_self /-
 theorem ofReal_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
   by
   rw [ext_iff]
   exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_im, of_real_im]⟩
 #align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.ofReal_normSq_eq_inner_self
+-/
 
+#print InnerProductSpace.Core.inner_re_symm /-
 theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symm
+-/
 
+#print InnerProductSpace.Core.inner_im_symm /-
 theorem inner_im_symm (x y : F) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symm
+-/
 
+#print InnerProductSpace.Core.inner_smul_left /-
 theorem inner_smul_left (x y : F) {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   c.smul_left _ _ _
 #align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_left
+-/
 
+#print InnerProductSpace.Core.inner_smul_right /-
 theorem inner_smul_right (x y : F) {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left] <;>
     simp only [conj_conj, inner_conj_symm, RingHom.map_mul]
 #align inner_product_space.core.inner_smul_right InnerProductSpace.Core.inner_smul_right
+-/
 
+#print InnerProductSpace.Core.inner_zero_left /-
 theorem inner_zero_left (x : F) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;>
     simp only [MulZeroClass.zero_mul, RingHom.map_zero]
 #align inner_product_space.core.inner_zero_left InnerProductSpace.Core.inner_zero_left
+-/
 
+#print InnerProductSpace.Core.inner_zero_right /-
 theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left] <;> simp only [RingHom.map_zero]
 #align inner_product_space.core.inner_zero_right InnerProductSpace.Core.inner_zero_right
+-/
 
+#print InnerProductSpace.Core.inner_self_eq_zero /-
 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
   ⟨c.definite _, by rintro rfl; exact inner_zero_left _⟩
 #align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zero
+-/
 
+#print InnerProductSpace.Core.normSq_eq_zero /-
 theorem normSq_eq_zero {x : F} : norm_sqF x = 0 ↔ x = 0 :=
   Iff.trans
     (by simp only [norm_sq, ext_iff, map_zero, inner_self_im, eq_self_iff_true, and_true_iff])
     (@inner_self_eq_zero 𝕜 _ _ _ _ _ x)
 #align inner_product_space.core.norm_sq_eq_zero InnerProductSpace.Core.normSq_eq_zero
+-/
 
+#print InnerProductSpace.Core.inner_self_ne_zero /-
 theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zero
+-/
 
+#print InnerProductSpace.Core.inner_self_ofReal_re /-
 theorem inner_self_ofReal_re (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_im]
 #align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_re
+-/
 
+#print InnerProductSpace.Core.norm_inner_symm /-
 theorem norm_inner_symm (x y : F) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align inner_product_space.core.norm_inner_symm InnerProductSpace.Core.norm_inner_symm
+-/
 
+#print InnerProductSpace.Core.inner_neg_left /-
 theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ := by rw [← neg_one_smul 𝕜 x, inner_smul_left];
   simp
 #align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_left
+-/
 
+#print InnerProductSpace.Core.inner_neg_right /-
 theorem inner_neg_right (x y : F) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_product_space.core.inner_neg_right InnerProductSpace.Core.inner_neg_right
+-/
 
+#print InnerProductSpace.Core.inner_sub_left /-
 theorem inner_sub_left (x y z : F) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left, inner_neg_left]
 #align inner_product_space.core.inner_sub_left InnerProductSpace.Core.inner_sub_left
+-/
 
+#print InnerProductSpace.Core.inner_sub_right /-
 theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right, inner_neg_right]
 #align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_right
+-/
 
+#print InnerProductSpace.Core.inner_mul_symm_re_eq_norm /-
 theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ := by
   rw [← inner_conj_symm, mul_comm]; exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_norm
+-/
 
+#print InnerProductSpace.Core.inner_add_add_self /-
 /-- Expand `inner (x + y) (x + y)` -/
 theorem inner_add_add_self (x y : F) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_product_space.core.inner_add_add_self InnerProductSpace.Core.inner_add_add_self
+-/
 
+#print InnerProductSpace.Core.inner_sub_sub_self /-
 -- Expand `inner (x - y) (x - y)`
 theorem inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_self
+-/
 
+#print InnerProductSpace.Core.cauchy_schwarz_aux /-
 /-- An auxiliary equality useful to prove the **Cauchy–Schwarz inequality**: the square of the norm
 of `⟪x, y⟫ • x - ⟪x, x⟫ • y` is equal to `‖x‖ ^ 2 * (‖x‖ ^ 2 * ‖y‖ ^ 2 - ‖⟪x, y⟫‖ ^ 2)`. We use
 `inner_product_space.of_core.norm_sq x` etc (defeq to `is_R_or_C.re ⟪x, x⟫`) instead of `‖x‖ ^ 2`
@@ -331,7 +368,9 @@ theorem cauchy_schwarz_aux (x y : F) :
   push_cast
   ring
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
+-/
 
+#print InnerProductSpace.Core.inner_mul_inner_self_le /-
 /-- **Cauchy–Schwarz inequality**.
 We need this for the `core` structure to prove the triangle inequality below when
 showing the core is a normed group.
@@ -345,6 +384,7 @@ theorem inner_mul_inner_self_le (x y : F) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖
       norm_inner_symm y, ← sq, ← cauchy_schwarz_aux]
     exact inner_self_nonneg
 #align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_le
+-/
 
 #print InnerProductSpace.Core.toNorm /-
 /-- Norm constructed from a `inner_product_space.core` structure, defined to be the square root
@@ -355,18 +395,25 @@ def toNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
 
 attribute [local instance] to_has_norm
 
+#print InnerProductSpace.Core.norm_eq_sqrt_inner /-
 theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   rfl
 #align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_inner
+-/
 
+#print InnerProductSpace.Core.inner_self_eq_norm_mul_norm /-
 theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
 #align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_norm
+-/
 
+#print InnerProductSpace.Core.sqrt_normSq_eq_norm /-
 theorem sqrt_normSq_eq_norm (x : F) : sqrt (norm_sqF x) = ‖x‖ :=
   rfl
 #align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_norm
+-/
 
+#print InnerProductSpace.Core.norm_inner_le_norm /-
 /-- Cauchy–Schwarz inequality with norm -/
 theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) <|
@@ -375,6 +422,7 @@ theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
       _ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := (inner_mul_inner_self_le x y)
       _ = ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) := by simp only [inner_self_eq_norm_mul_norm] <;> ring
 #align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_norm
+-/
 
 #print InnerProductSpace.Core.toNormedAddCommGroup /-
 /-- Normed group structure constructed from an `inner_product_space.core` structure -/
@@ -446,23 +494,22 @@ variable [NormedAddCommGroup F] [InnerProductSpace ℝ F]
 
 variable [dec_E : DecidableEq E]
 
--- mathport name: «expr⟪ , ⟫»
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
--- mathport name: exprIK
 local notation "IK" => @IsROrC.i 𝕜 _
 
--- mathport name: «expr †»
 local postfix:90 "†" => starRingEnd _
 
 export InnerProductSpace (norm_sq_eq_inner)
 
 section BasicProperties
 
+#print inner_conj_symm /-
 @[simp]
 theorem inner_conj_symm (x y : E) : ⟪y, x⟫† = ⟪x, y⟫ :=
   InnerProductSpace.conj_symm _ _
 #align inner_conj_symm inner_conj_symm
+-/
 
 #print real_inner_comm /-
 theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
@@ -470,51 +517,75 @@ theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
 #align real_inner_comm real_inner_comm
 -/
 
+#print inner_eq_zero_symm /-
 theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 := by rw [← inner_conj_symm];
   exact star_eq_zero
 #align inner_eq_zero_symm inner_eq_zero_symm
+-/
 
+#print inner_self_im /-
 @[simp]
 theorem inner_self_im (x : E) : im ⟪x, x⟫ = 0 := by rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
 #align inner_self_im inner_self_im
+-/
 
+#print inner_add_left /-
 theorem inner_add_left (x y z : E) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   InnerProductSpace.add_left _ _ _
 #align inner_add_left inner_add_left
+-/
 
+#print inner_add_right /-
 theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add]; simp only [inner_conj_symm]
 #align inner_add_right inner_add_right
+-/
 
+#print inner_re_symm /-
 theorem inner_re_symm (x y : E) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_re_symm inner_re_symm
+-/
 
+#print inner_im_symm /-
 theorem inner_im_symm (x y : E) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_im_symm inner_im_symm
+-/
 
+#print inner_smul_left /-
 theorem inner_smul_left (x y : E) (r : 𝕜) : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   InnerProductSpace.smul_left _ _ _
 #align inner_smul_left inner_smul_left
+-/
 
+#print real_inner_smul_left /-
 theorem real_inner_smul_left (x y : F) (r : ℝ) : ⟪r • x, y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
   inner_smul_left _ _ _
 #align real_inner_smul_left real_inner_smul_left
+-/
 
+#print inner_smul_real_left /-
 theorem inner_smul_real_left (x y : E) (r : ℝ) : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ := by
   rw [inner_smul_left, conj_of_real, Algebra.smul_def]; rfl
 #align inner_smul_real_left inner_smul_real_left
+-/
 
+#print inner_smul_right /-
 theorem inner_smul_right (x y : E) (r : 𝕜) : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left, RingHom.map_mul, conj_conj, inner_conj_symm]
 #align inner_smul_right inner_smul_right
+-/
 
+#print real_inner_smul_right /-
 theorem real_inner_smul_right (x y : F) (r : ℝ) : ⟪x, r • y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
   inner_smul_right _ _ _
 #align real_inner_smul_right real_inner_smul_right
+-/
 
+#print inner_smul_real_right /-
 theorem inner_smul_real_right (x y : E) (r : ℝ) : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ := by
   rw [inner_smul_right, Algebra.smul_def]; rfl
 #align inner_smul_real_right inner_smul_real_right
+-/
 
 #print sesqFormOfInner /-
 /-- The inner product as a sesquilinear form.
@@ -541,18 +612,23 @@ def bilinFormOfRealInner : BilinForm ℝ F
 #align bilin_form_of_real_inner bilinFormOfRealInner
 -/
 
+#print sum_inner /-
 /-- An inner product with a sum on the left. -/
 theorem sum_inner {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪∑ i in s, f i, x⟫ = ∑ i in s, ⟪f i, x⟫ :=
   (sesqFormOfInner x).map_sum
 #align sum_inner sum_inner
+-/
 
+#print inner_sum /-
 /-- An inner product with a sum on the right. -/
 theorem inner_sum {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪x, ∑ i in s, f i⟫ = ∑ i in s, ⟪x, f i⟫ :=
   (LinearMap.flip sesqFormOfInner x).map_sum
 #align inner_sum inner_sum
+-/
 
+#print Finsupp.sum_inner /-
 /-- An inner product with a sum on the left, `finsupp` version. -/
 theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪l.Sum fun (i : ι) (a : 𝕜) => a • v i, x⟫ = l.Sum fun (i : ι) (a : 𝕜) => conj a • ⟪v i, x⟫ :=
@@ -560,7 +636,9 @@ theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   convert sum_inner l.support (fun a => l a • v a) x
   simp only [inner_smul_left, Finsupp.sum, smul_eq_mul]
 #align finsupp.sum_inner Finsupp.sum_inner
+-/
 
+#print Finsupp.inner_sum /-
 /-- An inner product with a sum on the right, `finsupp` version. -/
 theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪x, l.Sum fun (i : ι) (a : 𝕜) => a • v i⟫ = l.Sum fun (i : ι) (a : 𝕜) => a • ⟪x, v i⟫ :=
@@ -568,125 +646,179 @@ theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   convert inner_sum l.support (fun a => l a • v a) x
   simp only [inner_smul_right, Finsupp.sum, smul_eq_mul]
 #align finsupp.inner_sum Finsupp.inner_sum
+-/
 
+#print Dfinsupp.sum_inner /-
 theorem Dfinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.Sum f, x⟫ = l.Sum fun i a => ⟪f i a, x⟫ := by
   simp (config := { contextual := true }) only [Dfinsupp.sum, sum_inner, smul_eq_mul]
 #align dfinsupp.sum_inner Dfinsupp.sum_inner
+-/
 
+#print Dfinsupp.inner_sum /-
 theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.Sum f⟫ = l.Sum fun i a => ⟪x, f i a⟫ := by
   simp (config := { contextual := true }) only [Dfinsupp.sum, inner_sum, smul_eq_mul]
 #align dfinsupp.inner_sum Dfinsupp.inner_sum
+-/
 
+#print inner_zero_left /-
 @[simp]
 theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, MulZeroClass.zero_mul]
 #align inner_zero_left inner_zero_left
+-/
 
+#print inner_re_zero_left /-
 theorem inner_re_zero_left (x : E) : re ⟪0, x⟫ = 0 := by
   simp only [inner_zero_left, AddMonoidHom.map_zero]
 #align inner_re_zero_left inner_re_zero_left
+-/
 
+#print inner_zero_right /-
 @[simp]
 theorem inner_zero_right (x : E) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left, RingHom.map_zero]
 #align inner_zero_right inner_zero_right
+-/
 
+#print inner_re_zero_right /-
 theorem inner_re_zero_right (x : E) : re ⟪x, 0⟫ = 0 := by
   simp only [inner_zero_right, AddMonoidHom.map_zero]
 #align inner_re_zero_right inner_re_zero_right
+-/
 
+#print inner_self_nonneg /-
 theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ :=
   InnerProductSpace.toCore.nonneg_re x
 #align inner_self_nonneg inner_self_nonneg
+-/
 
+#print real_inner_self_nonneg /-
 theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
   @inner_self_nonneg ℝ F _ _ _ x
 #align real_inner_self_nonneg real_inner_self_nonneg
+-/
 
+#print inner_self_ofReal_re /-
 @[simp]
 theorem inner_self_ofReal_re (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
   ((IsROrC.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
 #align inner_self_re_to_K inner_self_ofReal_re
+-/
 
+#print inner_self_eq_norm_sq_to_K /-
 theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) := by
   rw [← inner_self_ofReal_re, ← norm_sq_eq_inner, of_real_pow]
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
+-/
 
+#print inner_self_re_eq_norm /-
 theorem inner_self_re_eq_norm (x : E) : re ⟪x, x⟫ = ‖⟪x, x⟫‖ :=
   by
   conv_rhs => rw [← inner_self_ofReal_re]
   symm
   exact norm_of_nonneg inner_self_nonneg
 #align inner_self_re_eq_norm inner_self_re_eq_norm
+-/
 
+#print inner_self_ofReal_norm /-
 theorem inner_self_ofReal_norm (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ := by rw [← inner_self_re_eq_norm];
   exact inner_self_ofReal_re _
 #align inner_self_norm_to_K inner_self_ofReal_norm
+-/
 
+#print real_inner_self_abs /-
 theorem real_inner_self_abs (x : F) : |⟪x, x⟫_ℝ| = ⟪x, x⟫_ℝ :=
   @inner_self_ofReal_norm ℝ F _ _ _ x
 #align real_inner_self_abs real_inner_self_abs
+-/
 
+#print inner_self_eq_zero /-
 @[simp]
 theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 := by
   rw [inner_self_eq_norm_sq_to_K, sq_eq_zero_iff, of_real_eq_zero, norm_eq_zero]
 #align inner_self_eq_zero inner_self_eq_zero
+-/
 
+#print inner_self_ne_zero /-
 theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_self_ne_zero inner_self_ne_zero
+-/
 
+#print inner_self_nonpos /-
 @[simp]
 theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 := by
   rw [← norm_sq_eq_inner, (sq_nonneg _).le_iff_eq, sq_eq_zero_iff, norm_eq_zero]
 #align inner_self_nonpos inner_self_nonpos
+-/
 
+#print real_inner_self_nonpos /-
 theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
   @inner_self_nonpos ℝ F _ _ _ x
 #align real_inner_self_nonpos real_inner_self_nonpos
+-/
 
+#print norm_inner_symm /-
 theorem norm_inner_symm (x y : E) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align norm_inner_symm norm_inner_symm
+-/
 
+#print inner_neg_left /-
 @[simp]
 theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ := by rw [← neg_one_smul 𝕜 x, inner_smul_left];
   simp
 #align inner_neg_left inner_neg_left
+-/
 
+#print inner_neg_right /-
 @[simp]
 theorem inner_neg_right (x y : E) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_neg_right inner_neg_right
+-/
 
+#print inner_neg_neg /-
 theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 #align inner_neg_neg inner_neg_neg
+-/
 
+#print inner_self_conj /-
 @[simp]
 theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := by
   rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im, neg_zero]⟩
 #align inner_self_conj inner_self_conj
+-/
 
+#print inner_sub_left /-
 theorem inner_sub_left (x y z : E) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left]
 #align inner_sub_left inner_sub_left
+-/
 
+#print inner_sub_right /-
 theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right]
 #align inner_sub_right inner_sub_right
+-/
 
+#print inner_mul_symm_re_eq_norm /-
 theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ := by
   rw [← inner_conj_symm, mul_comm]; exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_norm
+-/
 
+#print inner_add_add_self /-
 /-- Expand `⟪x + y, x + y⟫` -/
 theorem inner_add_add_self (x y : E) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_add_add_self inner_add_add_self
+-/
 
+#print real_inner_add_add_self /-
 /-- Expand `⟪x + y, x + y⟫_ℝ` -/
 theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_ℝ + 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
@@ -694,12 +826,16 @@ theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_
   simp only [inner_add_add_self, this, add_left_inj]
   ring
 #align real_inner_add_add_self real_inner_add_add_self
+-/
 
+#print inner_sub_sub_self /-
 -- Expand `⟪x - y, x - y⟫`
 theorem inner_sub_sub_self (x y : E) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_sub_sub_self inner_sub_sub_self
+-/
 
+#print real_inner_sub_sub_self /-
 /-- Expand `⟪x - y, x - y⟫_ℝ` -/
 theorem real_inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫_ℝ = ⟪x, x⟫_ℝ - 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
@@ -707,34 +843,40 @@ theorem real_inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫_ℝ = ⟪x, x⟫_
   simp only [inner_sub_sub_self, this, add_left_inj]
   ring
 #align real_inner_sub_sub_self real_inner_sub_sub_self
+-/
 
 variable (𝕜)
 
-include 𝕜
-
+#print ext_inner_left /-
 theorem ext_inner_left {x y : E} (h : ∀ v, ⟪v, x⟫ = ⟪v, y⟫) : x = y := by
   rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_right, sub_eq_zero, h (x - y)]
 #align ext_inner_left ext_inner_left
+-/
 
+#print ext_inner_right /-
 theorem ext_inner_right {x y : E} (h : ∀ v, ⟪x, v⟫ = ⟪y, v⟫) : x = y := by
   rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_left, sub_eq_zero, h (x - y)]
 #align ext_inner_right ext_inner_right
-
-omit 𝕜
+-/
 
 variable {𝕜}
 
+#print parallelogram_law /-
 /-- Parallelogram law -/
 theorem parallelogram_law {x y : E} : ⟪x + y, x + y⟫ + ⟪x - y, x - y⟫ = 2 * (⟪x, x⟫ + ⟪y, y⟫) := by
   simp [inner_add_add_self, inner_sub_sub_self, two_mul, sub_eq_add_neg, add_comm, add_left_comm]
 #align parallelogram_law parallelogram_law
+-/
 
+#print inner_mul_inner_self_le /-
 /-- **Cauchy–Schwarz inequality**. -/
 theorem inner_mul_inner_self_le (x y : E) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
   letI c : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
   InnerProductSpace.Core.inner_mul_inner_self_le x y
 #align inner_mul_inner_self_le inner_mul_inner_self_le
+-/
 
+#print real_inner_mul_inner_self_le /-
 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   calc
@@ -742,7 +884,9 @@ theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ
       exact le_abs_self _
     _ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ := @inner_mul_inner_self_le ℝ _ _ _ _ x y
 #align real_inner_mul_inner_self_le real_inner_mul_inner_self_le
+-/
 
+#print linearIndependent_of_ne_zero_of_inner_eq_zero /-
 /-- A family of vectors is linearly independent if they are nonzero
 and orthogonal. -/
 theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type _} {v : ι → E} (hz : ∀ i, v i ≠ 0)
@@ -761,6 +905,7 @@ theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type _} {v : ι →
     · exact fun h => False.elim (h hi)
   simpa [hg, hz] using h'
 #align linear_independent_of_ne_zero_of_inner_eq_zero linearIndependent_of_ne_zero_of_inner_eq_zero
+-/
 
 end BasicProperties
 
@@ -768,8 +913,6 @@ section OrthonormalSets
 
 variable {ι : Type _} [dec_ι : DecidableEq ι] (𝕜)
 
-include 𝕜
-
 #print Orthonormal /-
 /-- An orthonormal set of vectors in an `inner_product_space` -/
 def Orthonormal (v : ι → E) : Prop :=
@@ -777,12 +920,9 @@ def Orthonormal (v : ι → E) : Prop :=
 #align orthonormal Orthonormal
 -/
 
-omit 𝕜
-
 variable {𝕜}
 
-include dec_ι
-
+#print orthonormal_iff_ite /-
 /-- `if ... then ... else` characterization of an indexed set of vectors being orthonormal.  (Inner
 product equals Kronecker delta.) -/
 theorem orthonormal_iff_ite {v : ι → E} :
@@ -803,11 +943,9 @@ theorem orthonormal_iff_ite {v : ι → E} :
     · intro i j hij
       simpa [hij] using h i j
 #align orthonormal_iff_ite orthonormal_iff_ite
+-/
 
-omit dec_ι
-
-include dec_E
-
+#print orthonormal_subtype_iff_ite /-
 /-- `if ... then ... else` characterization of a set of vectors being orthonormal.  (Inner product
 equals Kronecker delta.) -/
 theorem orthonormal_subtype_iff_ite {s : Set E} :
@@ -822,36 +960,44 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
     convert h v hv w hw using 1
     simp
 #align orthonormal_subtype_iff_ite orthonormal_subtype_iff_ite
+-/
 
-omit dec_E
-
+#print Orthonormal.inner_right_finsupp /-
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
     ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by
   classical simp [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv]
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
+-/
 
+#print Orthonormal.inner_right_sum /-
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
     {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by
   classical simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
+-/
 
+#print Orthonormal.inner_right_fintype /-
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜)
     (i : ι) : ⟪v i, ∑ i : ι, l i • v i⟫ = l i :=
   hv.inner_right_sum l (Finset.mem_univ _)
 #align orthonormal.inner_right_fintype Orthonormal.inner_right_fintype
+-/
 
+#print Orthonormal.inner_left_finsupp /-
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
     ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = conj (l i) := by rw [← inner_conj_symm, hv.inner_right_finsupp]
 #align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsupp
+-/
 
+#print Orthonormal.inner_left_sum /-
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
@@ -859,28 +1005,36 @@ theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l :
   classical simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
     Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
+-/
 
+#print Orthonormal.inner_left_fintype /-
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_fintype [Fintype ι] {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜)
     (i : ι) : ⟪∑ i : ι, l i • v i, v i⟫ = conj (l i) :=
   hv.inner_left_sum l (Finset.mem_univ _)
 #align orthonormal.inner_left_fintype Orthonormal.inner_left_fintype
+-/
 
+#print Orthonormal.inner_finsupp_eq_sum_left /-
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the first `finsupp`. -/
 theorem Orthonormal.inner_finsupp_eq_sum_left {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι →₀ 𝕜) :
     ⟪Finsupp.total ι E 𝕜 v l₁, Finsupp.total ι E 𝕜 v l₂⟫ = l₁.Sum fun i y => conj y * l₂ i := by
   simp only [l₁.total_apply _, Finsupp.sum_inner, hv.inner_right_finsupp, smul_eq_mul]
 #align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_left
+-/
 
+#print Orthonormal.inner_finsupp_eq_sum_right /-
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the second `finsupp`. -/
 theorem Orthonormal.inner_finsupp_eq_sum_right {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι →₀ 𝕜) :
     ⟪Finsupp.total ι E 𝕜 v l₁, Finsupp.total ι E 𝕜 v l₂⟫ = l₂.Sum fun i y => conj (l₁ i) * y := by
   simp only [l₂.total_apply _, Finsupp.inner_sum, hv.inner_left_finsupp, mul_comm, smul_eq_mul]
 #align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_right
+-/
 
+#print Orthonormal.inner_sum /-
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum. -/
 theorem Orthonormal.inner_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι → 𝕜) (s : Finset ι) :
@@ -890,7 +1044,9 @@ theorem Orthonormal.inner_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l
   refine' Finset.sum_congr rfl fun i hi => _
   rw [hv.inner_right_sum l₂ hi]
 #align orthonormal.inner_sum Orthonormal.inner_sum
+-/
 
+#print Orthonormal.inner_left_right_finset /-
 /--
 The double sum of weighted inner products of pairs of vectors from an orthonormal sequence is the
 sum of the weights.
@@ -899,7 +1055,9 @@ theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv :
     {a : ι → ι → 𝕜} : ∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫ = ∑ k in s, a k k := by
   classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
+-/
 
+#print Orthonormal.linearIndependent /-
 /-- An orthonormal set is linearly independent. -/
 theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) : LinearIndependent 𝕜 v :=
   by
@@ -909,7 +1067,9 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
   have key : ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = ⟪v i, 0⟫ := by rw [hl]
   simpa only [hv.inner_right_finsupp, inner_zero_right] using key
 #align orthonormal.linear_independent Orthonormal.linearIndependent
+-/
 
+#print Orthonormal.comp /-
 /-- A subfamily of an orthonormal family (i.e., a composition with an injective map) is an
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
@@ -920,6 +1080,7 @@ theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v)
   convert hv (f i) (f j) using 1
   simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
+-/
 
 #print orthonormal_subtype_range /-
 /-- An injective family `v : ι → E` is orthonormal if and only if `coe : (range v) → E` is
@@ -934,13 +1095,16 @@ theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
 #align orthonormal_subtype_range orthonormal_subtype_range
 -/
 
+#print Orthonormal.toSubtypeRange /-
 /-- If `v : ι → E` is an orthonormal family, then `coe : (range v) → E` is an orthonormal
 family. -/
 theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
     Orthonormal 𝕜 (coe : Set.range v → E) :=
   (orthonormal_subtype_range hv.LinearIndependent.Injective).2 hv
 #align orthonormal.to_subtype_range Orthonormal.toSubtypeRange
+-/
 
+#print Orthonormal.inner_finsupp_eq_zero /-
 /-- A linear combination of some subset of an orthonormal set is orthogonal to other members of the
 set. -/
 theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜 v) {s : Set ι} {i : ι}
@@ -950,7 +1114,9 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
   rw [Finsupp.mem_supported'] at hl 
   simp only [hv.inner_left_finsupp, hl i hi, map_zero]
 #align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zero
+-/
 
+#print Orthonormal.orthonormal_of_forall_eq_or_eq_neg /-
 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
@@ -962,15 +1128,18 @@ theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Or
     simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
       neg_eq_zero] using hv i j
 #align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
+-/
 
 /- The material that follows, culminating in the existence of a maximal orthonormal subset, is
 adapted from the corresponding development of the theory of linearly independents sets.  See
 `exists_linear_independent` in particular. -/
 variable (𝕜 E)
 
+#print orthonormal_empty /-
 theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
   classical simp [orthonormal_subtype_iff_ite]
 #align orthonormal_empty orthonormal_empty
+-/
 
 variable {𝕜 E}
 
@@ -1015,6 +1184,7 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
 #align exists_maximal_orthonormal exists_maximal_orthonormal
 -/
 
+#print Orthonormal.ne_zero /-
 theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) : v i ≠ 0 :=
   by
   have : ‖v i‖ ≠ 0 := by
@@ -1022,6 +1192,7 @@ theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) :
     norm_num
   simpa using this
 #align orthonormal.ne_zero Orthonormal.ne_zero
+-/
 
 open FiniteDimensional
 
@@ -1033,22 +1204,26 @@ def basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E}
 #align basis_of_orthonormal_of_card_eq_finrank basisOfOrthonormalOfCardEqFinrank
 -/
 
+#print coe_basisOfOrthonormalOfCardEqFinrank /-
 @[simp]
 theorem coe_basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E}
     (hv : Orthonormal 𝕜 v) (card_eq : Fintype.card ι = finrank 𝕜 E) :
     (basisOfOrthonormalOfCardEqFinrank hv card_eq : ι → E) = v :=
   coe_basisOfLinearIndependentOfCardEqFinrank _ _
 #align coe_basis_of_orthonormal_of_card_eq_finrank coe_basisOfOrthonormalOfCardEqFinrank
+-/
 
 end OrthonormalSets
 
 section Norm
 
+#print norm_eq_sqrt_inner /-
 theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   calc
     ‖x‖ = sqrt (‖x‖ ^ 2) := (sqrt_sq (norm_nonneg _)).symm
     _ = sqrt (re ⟪x, x⟫) := congr_arg _ (norm_sq_eq_inner _)
 #align norm_eq_sqrt_inner norm_eq_sqrt_inner
+-/
 
 #print norm_eq_sqrt_real_inner /-
 theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
@@ -1056,25 +1231,34 @@ theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
 #align norm_eq_sqrt_real_inner norm_eq_sqrt_real_inner
 -/
 
+#print inner_self_eq_norm_mul_norm /-
 theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [@norm_eq_sqrt_inner 𝕜, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫),
     sqrt_mul_self inner_self_nonneg]
 #align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_norm
+-/
 
+#print inner_self_eq_norm_sq /-
 theorem inner_self_eq_norm_sq (x : E) : re ⟪x, x⟫ = ‖x‖ ^ 2 := by
   rw [pow_two, inner_self_eq_norm_mul_norm]
 #align inner_self_eq_norm_sq inner_self_eq_norm_sq
+-/
 
+#print real_inner_self_eq_norm_mul_norm /-
 theorem real_inner_self_eq_norm_mul_norm (x : F) : ⟪x, x⟫_ℝ = ‖x‖ * ‖x‖ := by
   have h := @inner_self_eq_norm_mul_norm ℝ F _ _ _ x; simpa using h
 #align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_norm
+-/
 
+#print real_inner_self_eq_norm_sq /-
 theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
   rw [pow_two, real_inner_self_eq_norm_mul_norm]
 #align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sq
+-/
 
 variable (𝕜)
 
+#print norm_add_sq /-
 /-- Expand the square -/
 theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
@@ -1083,57 +1267,73 @@ theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y
   simp only [add_assoc, add_left_inj, add_right_inj, AddMonoidHom.map_add]
   rw [← inner_conj_symm, conj_re]
 #align norm_add_sq norm_add_sq
+-/
 
 alias norm_add_sq ← norm_add_pow_two
 #align norm_add_pow_two norm_add_pow_two
 
+#print norm_add_sq_real /-
 /-- Expand the square -/
 theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 := by
   have h := @norm_add_sq ℝ _ _ _ _ x y; simpa using h
 #align norm_add_sq_real norm_add_sq_real
+-/
 
 alias norm_add_sq_real ← norm_add_pow_two_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
+#print norm_add_mul_self /-
 /-- Expand the square -/
 theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by repeat' rw [← sq]; exact norm_add_sq _ _
 #align norm_add_mul_self norm_add_mul_self
+-/
 
+#print norm_add_mul_self_real /-
 /-- Expand the square -/
 theorem norm_add_mul_self_real (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ := by
   have h := @norm_add_mul_self ℝ _ _ _ _ x y; simpa using h
 #align norm_add_mul_self_real norm_add_mul_self_real
+-/
 
+#print norm_sub_sq /-
 /-- Expand the square -/
 theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 := by
   rw [sub_eq_add_neg, @norm_add_sq 𝕜 _ _ _ _ x (-y), norm_neg, inner_neg_right, map_neg, mul_neg,
     sub_eq_add_neg]
 #align norm_sub_sq norm_sub_sq
+-/
 
 alias norm_sub_sq ← norm_sub_pow_two
 #align norm_sub_pow_two norm_sub_pow_two
 
+#print norm_sub_sq_real /-
 /-- Expand the square -/
 theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
   @norm_sub_sq ℝ _ _ _ _ _ _
 #align norm_sub_sq_real norm_sub_sq_real
+-/
 
 alias norm_sub_sq_real ← norm_sub_pow_two_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
+#print norm_sub_mul_self /-
 /-- Expand the square -/
 theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by repeat' rw [← sq]; exact norm_sub_sq _ _
 #align norm_sub_mul_self norm_sub_mul_self
+-/
 
+#print norm_sub_mul_self_real /-
 /-- Expand the square -/
 theorem norm_sub_mul_self_real (x y : F) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ := by
   have h := @norm_sub_mul_self ℝ _ _ _ _ x y; simpa using h
 #align norm_sub_mul_self_real norm_sub_mul_self_real
+-/
 
+#print norm_inner_le_norm /-
 /-- Cauchy–Schwarz inequality with norm -/
 theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   by
@@ -1141,29 +1341,37 @@ theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   letI : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
   exact InnerProductSpace.Core.norm_inner_le_norm x y
 #align norm_inner_le_norm norm_inner_le_norm
+-/
 
+#print nnnorm_inner_le_nnnorm /-
 theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ * ‖y‖₊ :=
   norm_inner_le_norm x y
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
+-/
 
+#print re_inner_le_norm /-
 theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
   le_trans (re_le_norm (inner x y)) (norm_inner_le_norm x y)
 #align re_inner_le_norm re_inner_le_norm
+-/
 
+#print abs_real_inner_le_norm /-
 /-- Cauchy–Schwarz inequality with norm -/
 theorem abs_real_inner_le_norm (x y : F) : |⟪x, y⟫_ℝ| ≤ ‖x‖ * ‖y‖ :=
   (Real.norm_eq_abs _).ge.trans (norm_inner_le_norm x y)
 #align abs_real_inner_le_norm abs_real_inner_le_norm
+-/
 
+#print real_inner_le_norm /-
 /-- Cauchy–Schwarz inequality with norm -/
 theorem real_inner_le_norm (x y : F) : ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
   le_trans (le_abs_self _) (abs_real_inner_le_norm _ _)
 #align real_inner_le_norm real_inner_le_norm
-
-include 𝕜
+-/
 
 variable (𝕜)
 
+#print parallelogram_law_with_norm /-
 theorem parallelogram_law_with_norm (x y : E) :
     ‖x + y‖ * ‖x + y‖ + ‖x - y‖ * ‖x - y‖ = 2 * (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) :=
   by
@@ -1171,40 +1379,50 @@ theorem parallelogram_law_with_norm (x y : E) :
   rw [← re.map_add, parallelogram_law, two_mul, two_mul]
   simp only [re.map_add]
 #align parallelogram_law_with_norm parallelogram_law_with_norm
+-/
 
+#print parallelogram_law_with_nnnorm /-
 theorem parallelogram_law_with_nnnorm (x y : E) :
     ‖x + y‖₊ * ‖x + y‖₊ + ‖x - y‖₊ * ‖x - y‖₊ = 2 * (‖x‖₊ * ‖x‖₊ + ‖y‖₊ * ‖y‖₊) :=
   Subtype.ext <| parallelogram_law_with_norm 𝕜 x y
 #align parallelogram_law_with_nnnorm parallelogram_law_with_nnnorm
+-/
 
 variable {𝕜}
 
-omit 𝕜
-
+#print re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two /-
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 := by rw [@norm_add_mul_self 𝕜];
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
+-/
 
+#print re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two /-
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 := by rw [@norm_sub_mul_self 𝕜];
   ring
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
+-/
 
+#print re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four /-
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 := by
   rw [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜]; ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four
+-/
 
+#print im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four /-
 /-- Polarization identity: The imaginary part of the inner product, in terms of the norm. -/
 theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four (x y : E) :
     im ⟪x, y⟫ = (‖x - IK • y‖ * ‖x - IK • y‖ - ‖x + IK • y‖ * ‖x + IK • y‖) / 4 := by
   simp only [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜, inner_smul_right, I_mul_re]; ring
 #align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four
+-/
 
+#print inner_eq_sum_norm_sq_div_four /-
 /-- Polarization identity: The inner product, in terms of the norm. -/
 theorem inner_eq_sum_norm_sq_div_four (x y : E) :
     ⟪x, y⟫ = (‖x + y‖ ^ 2 - ‖x - y‖ ^ 2 + (‖x - IK • y‖ ^ 2 - ‖x + IK • y‖ ^ 2) * IK) / 4 :=
@@ -1214,7 +1432,9 @@ theorem inner_eq_sum_norm_sq_div_four (x y : E) :
   push_cast
   simp only [sq, ← mul_div_right_comm, ← add_div]
 #align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_four
+-/
 
+#print dist_div_norm_sq_smul /-
 /-- Formula for the distance between the images of two nonzero points under an inversion with center
 zero. See also `euclidean_geometry.dist_inversion_inversion` for inversions around a general
 point. -/
@@ -1237,6 +1457,7 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
         sqrt_sq (div_nonneg (sq_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _))),
         dist_eq_norm]
 #align dist_div_norm_sq_smul dist_div_norm_sq_smul
+-/
 
 #print InnerProductSpace.toUniformConvexSpace /-
 -- See note [lower instance priority]
@@ -1259,6 +1480,7 @@ section Complex
 
 variable {V : Type _} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
 
+#print inner_map_polarization /-
 /-- A complex polarization identity, with a linear map
 -/
 theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
@@ -1273,7 +1495,9 @@ theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
     mul_add, ← mul_assoc, mul_neg, neg_neg, sub_neg_eq_add, one_mul, neg_one_mul, mul_sub, sub_sub]
   ring
 #align inner_map_polarization inner_map_polarization
+-/
 
+#print inner_map_polarization' /-
 theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
     ⟪T x, y⟫_ℂ =
       (⟪T (x + y), x + y⟫_ℂ - ⟪T (x - y), x - y⟫_ℂ -
@@ -1286,7 +1510,9 @@ theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
     mul_add, ← mul_assoc, mul_neg, neg_neg, sub_neg_eq_add, one_mul, neg_one_mul, mul_sub, sub_sub]
   ring
 #align inner_map_polarization' inner_map_polarization'
+-/
 
+#print inner_map_self_eq_zero /-
 /-- A linear map `T` is zero, if and only if the identity `⟪T x, x⟫_ℂ = 0` holds for all `x`.
 -/
 theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_ℂ = 0) ↔ T = 0 :=
@@ -1299,7 +1525,9 @@ theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_
   · rintro rfl x
     simp only [LinearMap.zero_apply, inner_zero_left]
 #align inner_map_self_eq_zero inner_map_self_eq_zero
+-/
 
+#print ext_inner_map /-
 /--
 Two linear maps `S` and `T` are equal, if and only if the identity `⟪S x, x⟫_ℂ = ⟪T x, x⟫_ℂ` holds
 for all `x`.
@@ -1310,6 +1538,7 @@ theorem ext_inner_map (S T : V →ₗ[ℂ] V) : (∀ x : V, ⟪S x, x⟫_ℂ = 
   refine' forall_congr' fun x => _
   rw [LinearMap.sub_apply, inner_sub_left, sub_eq_zero]
 #align ext_inner_map ext_inner_map
+-/
 
 end Complex
 
@@ -1321,74 +1550,99 @@ variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 variable {E'' : Type _} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
+#print LinearIsometry.inner_map_map /-
 /-- A linear isometry preserves the inner product. -/
 @[simp]
 theorem LinearIsometry.inner_map_map (f : E →ₗᵢ[𝕜] E') (x y : E) : ⟪f x, f y⟫ = ⟪x, y⟫ := by
   simp [inner_eq_sum_norm_sq_div_four, ← f.norm_map]
 #align linear_isometry.inner_map_map LinearIsometry.inner_map_map
+-/
 
+#print LinearIsometryEquiv.inner_map_map /-
 /-- A linear isometric equivalence preserves the inner product. -/
 @[simp]
 theorem LinearIsometryEquiv.inner_map_map (f : E ≃ₗᵢ[𝕜] E') (x y : E) : ⟪f x, f y⟫ = ⟪x, y⟫ :=
   f.toLinearIsometry.inner_map_map x y
 #align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_map
+-/
 
+#print LinearMap.isometryOfInner /-
 /-- A linear map that preserves the inner product is a linear isometry. -/
 def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E →ₗᵢ[𝕜] E' :=
   ⟨f, fun x => by simp only [@norm_eq_sqrt_inner 𝕜, h]⟩
 #align linear_map.isometry_of_inner LinearMap.isometryOfInner
+-/
 
+#print LinearMap.coe_isometryOfInner /-
 @[simp]
 theorem LinearMap.coe_isometryOfInner (f : E →ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
   rfl
 #align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInner
+-/
 
+#print LinearMap.isometryOfInner_toLinearMap /-
 @[simp]
 theorem LinearMap.isometryOfInner_toLinearMap (f : E →ₗ[𝕜] E') (h) :
     (f.isometryOfInner h).toLinearMap = f :=
   rfl
 #align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMap
+-/
 
+#print LinearEquiv.isometryOfInner /-
 /-- A linear equivalence that preserves the inner product is a linear isometric equivalence. -/
 def LinearEquiv.isometryOfInner (f : E ≃ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E ≃ₗᵢ[𝕜] E' :=
   ⟨f, ((f : E →ₗ[𝕜] E').isometryOfInner h).norm_map⟩
 #align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInner
+-/
 
+#print LinearEquiv.coe_isometryOfInner /-
 @[simp]
 theorem LinearEquiv.coe_isometryOfInner (f : E ≃ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
   rfl
 #align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInner
+-/
 
+#print LinearEquiv.isometryOfInner_toLinearEquiv /-
 @[simp]
 theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
     (f.isometryOfInner h).toLinearEquiv = f :=
   rfl
 #align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquiv
+-/
 
+#print LinearIsometry.orthonormal_comp_iff /-
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by
   classical simp_rw [orthonormal_iff_ite, LinearIsometry.inner_map_map]
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
+-/
 
+#print Orthonormal.comp_linearIsometry /-
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) := by rwa [f.orthonormal_comp_iff]
 #align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometry
+-/
 
+#print Orthonormal.comp_linearIsometryEquiv /-
 /-- A linear isometric equivalence preserves the property of being orthonormal. -/
 theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) :=
   hv.comp_linearIsometry f.toLinearIsometry
 #align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquiv
+-/
 
+#print Orthonormal.mapLinearIsometryEquiv /-
 /-- A linear isometric equivalence, applied with `basis.map`, preserves the property of being
 orthonormal. -/
 theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (f : E ≃ₗᵢ[𝕜] E') : Orthonormal 𝕜 (v.map f.toLinearEquiv) :=
   hv.comp_linearIsometryEquiv f
 #align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquiv
+-/
 
+#print LinearMap.isometryOfOrthonormal /-
 /-- A linear map that sends an orthonormal basis to orthonormal vectors is a linear isometry. -/
 def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (hf : Orthonormal 𝕜 (f ∘ v)) : E →ₗᵢ[𝕜] E' :=
@@ -1396,20 +1650,26 @@ def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E
     rw [← v.total_repr x, ← v.total_repr y, Finsupp.apply_total, Finsupp.apply_total,
       hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormal
+-/
 
+#print LinearMap.coe_isometryOfOrthonormal /-
 @[simp]
 theorem LinearMap.coe_isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) : ⇑(f.isometryOfOrthonormal hv hf) = f :=
   rfl
 #align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormal
+-/
 
+#print LinearMap.isometryOfOrthonormal_toLinearMap /-
 @[simp]
 theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) :
     (f.isometryOfOrthonormal hv hf).toLinearMap = f :=
   rfl
 #align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMap
+-/
 
+#print LinearEquiv.isometryOfOrthonormal /-
 /-- A linear equivalence that sends an orthonormal basis to orthonormal vectors is a linear
 isometric equivalence. -/
 def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -1419,19 +1679,24 @@ def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜
     rw [← v.total_repr x, ← v.total_repr y, ← LinearEquiv.coe_coe, Finsupp.apply_total,
       Finsupp.apply_total, hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormal
+-/
 
+#print LinearEquiv.coe_isometryOfOrthonormal /-
 @[simp]
 theorem LinearEquiv.coe_isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) : ⇑(f.isometryOfOrthonormal hv hf) = f :=
   rfl
 #align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormal
+-/
 
+#print LinearEquiv.isometryOfOrthonormal_toLinearEquiv /-
 @[simp]
 theorem LinearEquiv.isometryOfOrthonormal_toLinearEquiv (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) :
     (f.isometryOfOrthonormal hv hf).toLinearEquiv = f :=
   rfl
 #align linear_equiv.isometry_of_orthonormal_to_linear_equiv LinearEquiv.isometryOfOrthonormal_toLinearEquiv
+-/
 
 #print Orthonormal.equiv /-
 /-- A linear isometric equivalence that sends an orthonormal basis to a given orthonormal basis. -/
@@ -1447,27 +1712,34 @@ def Orthonormal.equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basi
 #align orthonormal.equiv Orthonormal.equiv
 -/
 
+#print Orthonormal.equiv_toLinearEquiv /-
 @[simp]
 theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
     (hv.Equiv hv' e).toLinearEquiv = v.Equiv v' e :=
   rfl
 #align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquiv
+-/
 
+#print Orthonormal.equiv_apply /-
 @[simp]
 theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') (i : ι) :
     hv.Equiv hv' e (v i) = v' (e i) :=
   Basis.equiv_apply _ _ _ _
 #align orthonormal.equiv_apply Orthonormal.equiv_apply
+-/
 
+#print Orthonormal.equiv_refl /-
 @[simp]
 theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
     hv.Equiv hv (Equiv.refl ι) = LinearIsometryEquiv.refl 𝕜 E :=
   v.ext_linearIsometryEquiv fun i => by
     simp only [Orthonormal.equiv_apply, Equiv.coe_refl, id.def, LinearIsometryEquiv.coe_refl]
 #align orthonormal.equiv_refl Orthonormal.equiv_refl
+-/
 
+#print Orthonormal.equiv_symm /-
 @[simp]
 theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') : (hv.Equiv hv' e).symm = hv'.Equiv hv e.symm :=
@@ -1475,7 +1747,9 @@ theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {
     (hv.Equiv hv' e).Injective <| by
       simp only [LinearIsometryEquiv.apply_symm_apply, Orthonormal.equiv_apply, e.apply_symm_apply]
 #align orthonormal.equiv_symm Orthonormal.equiv_symm
+-/
 
+#print Orthonormal.equiv_trans /-
 @[simp]
 theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') {v'' : Basis ι'' 𝕜 E''} (hv'' : Orthonormal 𝕜 v'')
@@ -1483,29 +1757,37 @@ theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
   v.ext_linearIsometryEquiv fun i => by
     simp only [LinearIsometryEquiv.trans_apply, Orthonormal.equiv_apply, e.coe_trans]
 #align orthonormal.equiv_trans Orthonormal.equiv_trans
+-/
 
+#print Orthonormal.map_equiv /-
 theorem Orthonormal.map_equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
     v.map (hv.Equiv hv' e).toLinearEquiv = v'.reindex e.symm :=
   v.mapEquiv _ _
 #align orthonormal.map_equiv Orthonormal.map_equiv
+-/
 
 end
 
+#print real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two /-
 /-- Polarization identity: The real inner product, in terms of the norm. -/
 theorem real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : F) :
     ⟪x, y⟫_ℝ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 :=
   re_to_real.symm.trans <|
     re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two x y
 #align real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
+-/
 
+#print real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two /-
 /-- Polarization identity: The real inner product, in terms of the norm. -/
 theorem real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : F) :
     ⟪x, y⟫_ℝ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 :=
   re_to_real.symm.trans <|
     re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two x y
 #align real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
+-/
 
+#print norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero /-
 /-- Pythagorean theorem, if-and-only-if vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ = 0 :=
@@ -1513,14 +1795,18 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
   rw [@norm_add_mul_self ℝ, add_right_cancel_iff, add_right_eq_self, mul_eq_zero]
   norm_num
 #align norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
+-/
 
+#print norm_add_eq_sqrt_iff_real_inner_eq_zero /-
 /-- Pythagorean theorem, if-and-if vector inner product form using square roots. -/
 theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     ‖x + y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
   rw [← norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, eq_comm,
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zero
+-/
 
+#print norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero /-
 /-- Pythagorean theorem, vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x, y⟫ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
@@ -1529,13 +1815,17 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x,
   apply Or.inr
   simp only [h, zero_re']
 #align norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero
+-/
 
+#print norm_add_sq_eq_norm_sq_add_norm_sq_real /-
 /-- Pythagorean theorem, vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
   (norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero x y).2 h
 #align norm_add_sq_eq_norm_sq_add_norm_sq_real norm_add_sq_eq_norm_sq_add_norm_sq_real
+-/
 
+#print norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero /-
 /-- Pythagorean theorem, subtracting vectors, if-and-only-if vector
 inner product form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
@@ -1545,7 +1835,9 @@ theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
     mul_eq_zero]
   norm_num
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
+-/
 
+#print norm_sub_eq_sqrt_iff_real_inner_eq_zero /-
 /-- Pythagorean theorem, subtracting vectors, if-and-if vector inner product form using square
 roots. -/
 theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
@@ -1553,14 +1845,18 @@ theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
   rw [← norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, eq_comm,
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zero
+-/
 
+#print norm_sub_sq_eq_norm_sq_add_norm_sq_real /-
 /-- Pythagorean theorem, subtracting vectors, vector inner product
 form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ = 0) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
   (norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero x y).2 h
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_real norm_sub_sq_eq_norm_sq_add_norm_sq_real
+-/
 
+#print real_inner_add_sub_eq_zero_iff /-
 /-- The sum and difference of two vectors are orthogonal if and only
 if they have the same norm. -/
 theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 ↔ ‖x‖ = ‖y‖ :=
@@ -1575,7 +1871,9 @@ theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 
   · intro h
     linarith
 #align real_inner_add_sub_eq_zero_iff real_inner_add_sub_eq_zero_iff
+-/
 
+#print norm_sub_eq_norm_add /-
 /-- Given two orthogonal vectors, their sum and difference have equal norms. -/
 theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w + v‖ :=
   by
@@ -1584,7 +1882,9 @@ theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w
     zero_sub, add_zero, map_add, inner_add_right, inner_sub_left, inner_sub_right, inner_re_symm,
     zero_add]
 #align norm_sub_eq_norm_add norm_sub_eq_norm_add
+-/
 
+#print abs_real_inner_div_norm_mul_norm_le_one /-
 /-- The real inner product of two vectors, divided by the product of their
 norms, has absolute value at most 1. -/
 theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| ≤ 1 :=
@@ -1592,17 +1892,23 @@ theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (
   rw [abs_div, abs_mul, abs_norm, abs_norm]
   exact div_le_one_of_le (abs_real_inner_le_norm x y) (by positivity)
 #align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_one
+-/
 
+#print real_inner_smul_self_left /-
 /-- The inner product of a vector with a multiple of itself. -/
 theorem real_inner_smul_self_left (x : F) (r : ℝ) : ⟪r • x, x⟫_ℝ = r * (‖x‖ * ‖x‖) := by
   rw [real_inner_smul_left, ← real_inner_self_eq_norm_mul_norm]
 #align real_inner_smul_self_left real_inner_smul_self_left
+-/
 
+#print real_inner_smul_self_right /-
 /-- The inner product of a vector with a multiple of itself. -/
 theorem real_inner_smul_self_right (x : F) (r : ℝ) : ⟪x, r • x⟫_ℝ = r * (‖x‖ * ‖x‖) := by
   rw [inner_smul_right, ← real_inner_self_eq_norm_mul_norm]
 #align real_inner_smul_self_right real_inner_smul_self_right
+-/
 
+#print norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul /-
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
@@ -1615,7 +1921,9 @@ theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r
   rw [← mul_assoc, ← div_div, mul_div_cancel _ hx', ← div_div, mul_comm, mul_div_cancel _ hr',
     div_self hx']
 #align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
+-/
 
+#print abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul /-
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
@@ -1623,7 +1931,9 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : F
     (hx : x ≠ 0) (hr : r ≠ 0) : |⟪x, r • x⟫_ℝ| / (‖x‖ * ‖r • x‖) = 1 :=
   norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
+-/
 
+#print real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul /-
 /-- The inner product of a nonzero vector with a positive multiple of
 itself, divided by the product of their norms, has value 1. -/
 theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : ℝ} (hx : x ≠ 0)
@@ -1633,7 +1943,9 @@ theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : 
     mul_assoc, abs_of_nonneg hr.le, div_self]
   exact mul_ne_zero hr.ne' (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul
+-/
 
+#print real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul /-
 /-- The inner product of a nonzero vector with a negative multiple of
 itself, divided by the product of their norms, has value -1. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r : ℝ} (hx : x ≠ 0)
@@ -1643,7 +1955,9 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r
     mul_assoc, abs_of_neg hr, neg_mul, div_neg_eq_neg_div, div_self]
   exact mul_ne_zero hr.ne (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul
+-/
 
+#print norm_inner_eq_norm_tfae /-
 theorem norm_inner_eq_norm_tfae (x y : E) :
     TFAE
       [‖⟪x, y⟫‖ = ‖x‖ * ‖y‖, x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫) • x, x = 0 ∨ ∃ r : 𝕜, y = r • x,
@@ -1669,7 +1983,9 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
   tfae_have 3 ↔ 4; · simp only [Submodule.mem_span_singleton, eq_comm]
   tfae_finish
 #align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfae
+-/
 
+#print norm_inner_eq_norm_iff /-
 /-- If the inner product of two vectors is equal to the product of their norms, then the two vectors
 are multiples of each other. One form of the equality case for Cauchy-Schwarz.
 Compare `inner_eq_norm_mul_iff`, which takes the stronger hypothesis `⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
@@ -1683,7 +1999,9 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
       ⟨fun ⟨r, h⟩ => ⟨r, fun hr₀ => hy₀ <| h.symm ▸ smul_eq_zero.2 <| Or.inl hr₀, h⟩,
         fun ⟨r, hr₀, h⟩ => ⟨r, h⟩⟩
 #align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
+-/
 
+#print norm_inner_div_norm_mul_norm_eq_one_iff /-
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
@@ -1700,7 +2018,9 @@ theorem norm_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     simp only [norm_div, norm_mul, norm_of_real, abs_norm]
     exact norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iff
+-/
 
+#print abs_real_inner_div_norm_mul_norm_eq_one_iff /-
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
@@ -1708,7 +2028,9 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
     |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| = 1 ↔ x ≠ 0 ∧ ∃ r : ℝ, r ≠ 0 ∧ y = r • x :=
   @norm_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ _ x y
 #align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iff
+-/
 
+#print inner_eq_norm_mul_iff_div /-
 theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y :=
   by
@@ -1722,7 +2044,9 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
   · conv_lhs => rw [← h, inner_smul_right, inner_self_eq_norm_sq_to_K]
     field_simp [sq, mul_left_comm]
 #align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
+-/
 
+#print inner_eq_norm_mul_iff /-
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
 of the equality case for Cauchy-Schwarz.
@@ -1735,7 +2059,9 @@ theorem inner_eq_norm_mul_iff {x y : E} :
   · rw [inner_eq_norm_mul_iff_div h₀, div_eq_inv_mul, mul_smul, inv_smul_eq_iff₀]
     rwa [Ne.def, of_real_eq_zero, norm_eq_zero]
 #align inner_eq_norm_mul_iff inner_eq_norm_mul_iff
+-/
 
+#print inner_eq_norm_mul_iff_real /-
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
 of the equality case for Cauchy-Schwarz.
@@ -1743,7 +2069,9 @@ Compare `norm_inner_eq_norm_iff`, which takes the weaker hypothesis `abs ⟪x, y
 theorem inner_eq_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ = ‖x‖ * ‖y‖ ↔ ‖y‖ • x = ‖x‖ • y :=
   inner_eq_norm_mul_iff
 #align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_real
+-/
 
+#print real_inner_div_norm_mul_norm_eq_one_iff /-
 /-- The inner product of two vectors, divided by the product of their
 norms, has value 1 if and only if they are nonzero and one is
 a positive multiple of the other. -/
@@ -1759,7 +2087,9 @@ theorem real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
   · rintro ⟨hx, ⟨r, ⟨hr, rfl⟩⟩⟩
     exact real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul hx hr
 #align real_inner_div_norm_mul_norm_eq_one_iff real_inner_div_norm_mul_norm_eq_one_iff
+-/
 
+#print real_inner_div_norm_mul_norm_eq_neg_one_iff /-
 /-- The inner product of two vectors, divided by the product of their
 norms, has value -1 if and only if they are nonzero and one is
 a negative multiple of the other. -/
@@ -1771,26 +2101,34 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_iff (x y : F) :
   refine' iff.rfl.and (exists_congr fun r => _)
   rw [neg_pos, neg_smul, neg_inj]
 #align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iff
+-/
 
+#print inner_eq_one_iff_of_norm_one /-
 /-- If the inner product of two unit vectors is `1`, then the two vectors are equal. One form of
 the equality case for Cauchy-Schwarz. -/
 theorem inner_eq_one_iff_of_norm_one {x y : E} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) : ⟪x, y⟫ = 1 ↔ x = y :=
   by convert inner_eq_norm_mul_iff using 2 <;> simp [hx, hy]
 #align inner_eq_one_iff_of_norm_one inner_eq_one_iff_of_norm_one
+-/
 
+#print inner_lt_norm_mul_iff_real /-
 theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ‖y‖ • x ≠ ‖x‖ • y :=
   calc
     ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ ≠ ‖x‖ * ‖y‖ :=
       ⟨ne_of_lt, lt_of_le_of_ne (real_inner_le_norm _ _)⟩
     _ ↔ ‖y‖ • x ≠ ‖x‖ • y := not_congr inner_eq_norm_mul_iff_real
 #align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_real
+-/
 
+#print inner_lt_one_iff_real_of_norm_one /-
 /-- If the inner product of two unit vectors is strictly less than `1`, then the two vectors are
 distinct. One form of the equality case for Cauchy-Schwarz. -/
 theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) :
     ⟪x, y⟫_ℝ < 1 ↔ x ≠ y := by convert inner_lt_norm_mul_iff_real <;> simp [hx, hy]
 #align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_one
+-/
 
+#print inner_sum_smul_sum_smul_of_sum_eq_zero /-
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
 theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
@@ -1806,6 +2144,7 @@ theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset 
     MulZeroClass.mul_zero, Finset.sum_const_zero, zero_add, zero_sub, Finset.mul_sum, neg_div,
     Finset.sum_div, mul_div_assoc, mul_assoc]
 #align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zero
+-/
 
 variable (𝕜)
 
@@ -1817,15 +2156,19 @@ def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
 #align innerₛₗ innerₛₗ
 -/
 
+#print innerₛₗ_apply_coe /-
 @[simp]
 theorem innerₛₗ_apply_coe (v : E) : ⇑(innerₛₗ 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply_coe innerₛₗ_apply_coe
+-/
 
+#print innerₛₗ_apply /-
 @[simp]
 theorem innerₛₗ_apply (v w : E) : innerₛₗ 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply innerₛₗ_apply
+-/
 
 #print innerSL /-
 /-- The inner product as a continuous sesquilinear map. Note that `to_dual_map` (resp. `to_dual`)
@@ -1837,16 +2180,21 @@ def innerSL : E →L⋆[𝕜] E →L[𝕜] 𝕜 :=
 #align innerSL innerSL
 -/
 
+#print innerSL_apply_coe /-
 @[simp]
 theorem innerSL_apply_coe (v : E) : ⇑(innerSL 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerSL_apply_coe innerSL_apply_coe
+-/
 
+#print innerSL_apply /-
 @[simp]
 theorem innerSL_apply (v w : E) : innerSL 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerSL_apply innerSL_apply
+-/
 
+#print innerSL_apply_norm /-
 /-- `innerSL` is an isometry. Note that the associated `linear_isometry` is defined in
 `inner_product_space.dual` as `to_dual_map`.  -/
 @[simp]
@@ -1862,6 +2210,7 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ :=
         rw [← sq, inner_self_eq_norm_sq_to_K, norm_pow, norm_of_real, abs_norm]
       _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_opNorm _
 #align innerSL_apply_norm innerSL_apply_norm
+-/
 
 #print innerSLFlip /-
 /-- The inner product as a continuous sesquilinear map, with the two arguments flipped. -/
@@ -1871,10 +2220,12 @@ def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
 #align innerSL_flip innerSLFlip
 -/
 
+#print innerSLFlip_apply /-
 @[simp]
 theorem innerSLFlip_apply (x y : E) : innerSLFlip 𝕜 x y = ⟪y, x⟫ :=
   rfl
 #align innerSL_flip_apply innerSLFlip_apply
+-/
 
 variable {𝕜}
 
@@ -1891,11 +2242,14 @@ def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜
 #align continuous_linear_map.to_sesq_form ContinuousLinearMap.toSesqForm
 -/
 
+#print ContinuousLinearMap.toSesqForm_apply_coe /-
 @[simp]
 theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (innerSL 𝕜 x).comp f :=
   rfl
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
+-/
 
+#print ContinuousLinearMap.toSesqForm_apply_norm_le /-
 theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm f v‖ ≤ ‖f‖ * ‖v‖ :=
   by
   refine' op_norm_le_bound _ (mul_nonneg (norm_nonneg _) (norm_nonneg _)) _
@@ -1907,6 +2261,7 @@ theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm
     _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := (mul_le_mul_of_nonneg_left h₁ (norm_nonneg v))
     _ = ‖f‖ * ‖v‖ * ‖x‖ := by ring
 #align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_le
+-/
 
 end ContinuousLinearMap
 
@@ -1937,6 +2292,7 @@ section BesselsInequality
 
 variable {ι : Type _} (x : E) {v : ι → E}
 
+#print Orthonormal.sum_inner_products_le /-
 /-- Bessel's inequality for finite sums. -/
 theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜 v) :
     ∑ i in s, ‖⟪v i, x⟫‖ ^ 2 ≤ ‖x‖ ^ 2 :=
@@ -1958,7 +2314,9 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
     inner_conj_symm, AddMonoidHom.map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib,
     inner_smul_left, add_sub_cancel']
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
+-/
 
+#print Orthonormal.tsum_inner_products_le /-
 /-- Bessel's inequality. -/
 theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
     ∑' i, ‖⟪v i, x⟫‖ ^ 2 ≤ ‖x‖ ^ 2 :=
@@ -1966,7 +2324,9 @@ theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
   refine' tsum_le_of_sum_le' _ fun s => hv.sum_inner_products_le x
   simp only [norm_nonneg, pow_nonneg]
 #align orthonormal.tsum_inner_products_le Orthonormal.tsum_inner_products_le
+-/
 
+#print Orthonormal.inner_products_summable /-
 /-- The sum defined in Bessel's inequality is summable. -/
 theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
     Summable fun i => ‖⟪v i, x⟫‖ ^ 2 :=
@@ -1980,6 +2340,7 @@ theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
     rintro y ⟨s, rfl⟩
     exact hv.sum_inner_products_le x
 #align orthonormal.inner_products_summable Orthonormal.inner_products_summable
+-/
 
 end BesselsInequality
 
@@ -1995,10 +2356,12 @@ instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
 #align is_R_or_C.inner_product_space IsROrC.innerProductSpace
 -/
 
+#print IsROrC.inner_apply /-
 @[simp]
 theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
   rfl
 #align is_R_or_C.inner_apply IsROrC.inner_apply
+-/
 
 /-! ### Inner product space structure on subspaces -/
 
@@ -2015,23 +2378,29 @@ instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace
 #align submodule.inner_product_space Submodule.innerProductSpace
 -/
 
+#print Submodule.coe_inner /-
 /-- The inner product on submodules is the same as on the ambient space. -/
 @[simp]
 theorem Submodule.coe_inner (W : Submodule 𝕜 E) (x y : W) : ⟪x, y⟫ = ⟪(x : E), ↑y⟫ :=
   rfl
 #align submodule.coe_inner Submodule.coe_inner
+-/
 
+#print Orthonormal.codRestrict /-
 theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
     (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ _ ι (Set.codRestrict v s hvs) :=
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
+-/
 
+#print orthonormal_span /-
 theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
   hv.codRestrict (Submodule.span 𝕜 (Set.range v)) fun i =>
     Submodule.subset_span (Set.mem_range_self i)
 #align orthonormal_span orthonormal_span
+-/
 
 /-! ### Families of mutually-orthogonal subspaces of an inner product space -/
 
@@ -2064,13 +2433,14 @@ def OrthogonalFamily (G : ι → Type _) [∀ i, NormedAddCommGroup (G i)]
 variable {𝕜} {G : ι → Type _} [∀ i, NormedAddCommGroup (G i)] [∀ i, InnerProductSpace 𝕜 (G i)]
   {V : ∀ i, G i →ₗᵢ[𝕜] E} (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
+#print Orthonormal.orthogonalFamily /-
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
     OrthogonalFamily 𝕜 (fun i : ι => 𝕜) fun i => LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
   fun i j hij a b => by simp [inner_smul_left, inner_smul_right, hv.2 hij]
 #align orthonormal.orthogonal_family Orthonormal.orthogonalFamily
+-/
 
-include hV dec_ι
-
+#print OrthogonalFamily.eq_ite /-
 theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
     ⟪V i v, V j w⟫ = ite (i = j) ⟪V i v, V j w⟫ 0 :=
   by
@@ -2078,9 +2448,9 @@ theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
   · rfl
   · exact hV h v w
 #align orthogonal_family.eq_ite OrthogonalFamily.eq_ite
+-/
 
-include dec_V
-
+#print OrthogonalFamily.inner_right_dfinsupp /-
 theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i) :
     ⟪V i v, l.Sum fun j => V j⟫ = ⟪v, l i⟫ :=
   calc
@@ -2096,9 +2466,9 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
       · simp only [LinearIsometry.inner_map_map]
       · simp only [of_not_not h, inner_zero_right]
 #align orthogonal_family.inner_right_dfinsupp OrthogonalFamily.inner_right_dfinsupp
+-/
 
-omit dec_ι dec_V
-
+#print OrthogonalFamily.inner_right_fintype /-
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
   classical calc
@@ -2107,7 +2477,9 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
       (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
     _ = ⟪v, l i⟫ := by simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
+-/
 
+#print OrthogonalFamily.inner_sum /-
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
   classical calc
@@ -2122,7 +2494,9 @@ theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
       simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map, imp_self,
         imp_true_iff]
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
+-/
 
+#print OrthogonalFamily.norm_sum /-
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
     ‖∑ i in s, V i (l i)‖ ^ 2 = ∑ i in s, ‖l i‖ ^ 2 :=
   by
@@ -2130,13 +2504,17 @@ theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
     simp only [← inner_self_eq_norm_sq_to_K, hV.inner_sum]
   exact_mod_cast this
 #align orthogonal_family.norm_sum OrthogonalFamily.norm_sum
+-/
 
+#print OrthogonalFamily.comp /-
 /-- The composition of an orthogonal family of subspaces with an injective function is also an
 orthogonal family. -/
 theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injective f) :
     OrthogonalFamily 𝕜 (fun g => G (f g)) fun g => V (f g) := fun i j hij v w => hV (hf.Ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
+-/
 
+#print OrthogonalFamily.orthonormal_sigma_orthonormal /-
 theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 fun a : Σ i, α i => V a.1 (v_family a.1 a.2) :=
@@ -2151,9 +2529,9 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_f
     simpa only [LinearIsometry.inner_map_map] using (hv_family i).2 this
   · exact hV hij (v_family i v) (v_family j w)
 #align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormal
+-/
 
-include dec_ι
-
+#print OrthogonalFamily.norm_sq_diff_sum /-
 theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
     ‖∑ i in s₁, V i (f i) - ∑ i in s₂, V i (f i)‖ ^ 2 =
       ∑ i in s₁ \ s₂, ‖f i‖ ^ 2 + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 :=
@@ -2180,9 +2558,9 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
   · simp only [hF]
   · simp only [hF]
 #align orthogonal_family.norm_sq_diff_sum OrthogonalFamily.norm_sq_diff_sum
+-/
 
-omit dec_ι
-
+#print OrthogonalFamily.summable_iff_norm_sq_summable /-
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
 `(λ i, ‖f i‖ ^ 2)` is summable. -/
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
@@ -2229,9 +2607,9 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
       · exact fun i => sq_nonneg _
     linarith
 #align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summable
+-/
 
-omit hV
-
+#print OrthogonalFamily.independent /-
 /-- An orthogonal family forms an independent family of subspaces; that is, any collection of
 elements each from a different subspace in the family is linearly independent. In particular, the
 pairwise intersections of elements of the family are 0. -/
@@ -2252,9 +2630,9 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
         (hV.inner_right_dfinsupp v i (v i)).symm
     _ = 0 := by simp only [hv, inner_zero_right]
 #align orthogonal_family.independent OrthogonalFamily.independent
+-/
 
-include dec_ι
-
+#print DirectSum.IsInternal.collectedBasis_orthonormal /-
 theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
@@ -2262,6 +2640,7 @@ theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 
     Orthonormal 𝕜 (hV_sum.collectedBasis v_family) := by
   simpa only [hV_sum.collected_basis_coe] using hV.orthonormal_sigma_orthonormal hv_family
 #align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormal
+-/
 
 end OrthogonalFamily
 
@@ -2271,8 +2650,6 @@ variable {G : Type _}
 
 variable (𝕜 E)
 
-include 𝕜
-
 #print Inner.isROrCToReal /-
 /-- A general inner product implies a real inner product. This is not registered as an instance
 since it creates problems with the case `𝕜 = ℝ`. -/
@@ -2302,34 +2679,42 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
 
 variable {E}
 
+#print real_inner_eq_re_inner /-
 theorem real_inner_eq_re_inner (x y : E) :
     @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
   rfl
 #align real_inner_eq_re_inner real_inner_eq_re_inner
+-/
 
+#print real_inner_I_smul_self /-
 theorem real_inner_I_smul_self (x : E) :
     @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x ((i : 𝕜) • x) = 0 := by
   simp [real_inner_eq_re_inner, inner_smul_right]
 #align real_inner_I_smul_self real_inner_I_smul_self
+-/
 
-omit 𝕜
-
+#print InnerProductSpace.complexToReal /-
 /-- A complex inner product implies a real inner product -/
 instance InnerProductSpace.complexToReal [NormedAddCommGroup G] [InnerProductSpace ℂ G] :
     InnerProductSpace ℝ G :=
   InnerProductSpace.isROrCToReal ℂ G
 #align inner_product_space.complex_to_real InnerProductSpace.complexToReal
+-/
 
+#print Complex.inner /-
 @[simp]
 protected theorem Complex.inner (w z : ℂ) : ⟪w, z⟫_ℝ = (conj w * z).re :=
   rfl
 #align complex.inner Complex.inner
+-/
 
+#print inner_map_complex /-
 /-- The inner product on an inner product space of dimension 2 can be evaluated in terms
 of a complex-number representation of the space. -/
 theorem inner_map_complex [NormedAddCommGroup G] [InnerProductSpace ℝ G] (f : G ≃ₗᵢ[ℝ] ℂ)
     (x y : G) : ⟪x, y⟫_ℝ = (conj (f x) * f y).re := by rw [← Complex.inner, f.inner_map_map]
 #align inner_map_complex inner_map_complex
+-/
 
 end IsROrCToReal
 
@@ -2340,10 +2725,12 @@ section Continuous
 -/
 
 
+#print continuous_inner /-
 theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
   letI : InnerProductSpace ℝ E := InnerProductSpace.isROrCToReal 𝕜 E
   is_bounded_bilinear_map_inner.continuous
 #align continuous_inner continuous_inner
+-/
 
 variable {α : Type _}
 
@@ -2356,8 +2743,6 @@ theorem Filter.Tendsto.inner {f g : α → E} {l : Filter α} {x y : E} (hf : Te
 
 variable [TopologicalSpace α] {f g : α → E} {x : α} {s : Set α}
 
-include 𝕜
-
 #print ContinuousWithinAt.inner /-
 theorem ContinuousWithinAt.inner (hf : ContinuousWithinAt f s x) (hg : ContinuousWithinAt g s x) :
     ContinuousWithinAt (fun t => ⟪f t, g t⟫) s x :=
@@ -2396,22 +2781,28 @@ def ContinuousLinearMap.reApplyInnerSelf (T : E →L[𝕜] E) (x : E) : ℝ :=
 #align continuous_linear_map.re_apply_inner_self ContinuousLinearMap.reApplyInnerSelf
 -/
 
+#print ContinuousLinearMap.reApplyInnerSelf_apply /-
 theorem ContinuousLinearMap.reApplyInnerSelf_apply (T : E →L[𝕜] E) (x : E) :
     T.reApplyInnerSelf x = re ⟪T x, x⟫ :=
   rfl
 #align continuous_linear_map.re_apply_inner_self_apply ContinuousLinearMap.reApplyInnerSelf_apply
+-/
 
+#print ContinuousLinearMap.reApplyInnerSelf_continuous /-
 theorem ContinuousLinearMap.reApplyInnerSelf_continuous (T : E →L[𝕜] E) :
     Continuous T.reApplyInnerSelf :=
   reClm.Continuous.comp <| T.Continuous.inner continuous_id
 #align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuous
+-/
 
+#print ContinuousLinearMap.reApplyInnerSelf_smul /-
 theorem ContinuousLinearMap.reApplyInnerSelf_smul (T : E →L[𝕜] E) (x : E) {c : 𝕜} :
     T.reApplyInnerSelf (c • x) = ‖c‖ ^ 2 * T.reApplyInnerSelf x := by
   simp only [ContinuousLinearMap.map_smul, ContinuousLinearMap.reApplyInnerSelf_apply,
     inner_smul_left, inner_smul_right, ← mul_assoc, mul_conj, norm_sq_eq_def', ← smul_re,
     Algebra.smul_def (‖c‖ ^ 2) ⟪T x, x⟫, algebra_map_eq_of_real]
 #align continuous_linear_map.re_apply_inner_self_smul ContinuousLinearMap.reApplyInnerSelf_smul
+-/
 
 end ReApplyInnerSelf
 
@@ -2423,12 +2814,15 @@ instance {𝕜' E' : Type _} [TopologicalSpace 𝕜'] [UniformSpace E'] [Inner 
     Inner 𝕜' (Completion E')
     where inner := curry <| (denseInducing_coe.Prod denseInducing_coe).extend (uncurry inner)
 
+#print UniformSpace.Completion.inner_coe /-
 @[simp]
 theorem inner_coe (a b : E) : inner (a : Completion E) (b : Completion E) = (inner a b : 𝕜) :=
   (denseInducing_coe.Prod denseInducing_coe).extend_eq
     (continuous_inner : Continuous (uncurry inner : E × E → 𝕜)) (a, b)
 #align uniform_space.completion.inner_coe UniformSpace.Completion.inner_coe
+-/
 
+#print UniformSpace.Completion.continuous_inner /-
 protected theorem continuous_inner : Continuous (uncurry inner : Completion E × Completion E → 𝕜) :=
   by
   let inner' : E →+ E →+ 𝕜 :=
@@ -2443,11 +2837,14 @@ protected theorem continuous_inner : Continuous (uncurry inner : Completion E ×
         inner' p.1 p.2)
   exact (dense_inducing_to_compl E).extend_Z_bilin (dense_inducing_to_compl E) this
 #align uniform_space.completion.continuous_inner UniformSpace.Completion.continuous_inner
+-/
 
+#print UniformSpace.Completion.Continuous.inner /-
 protected theorem Continuous.inner {α : Type _} [TopologicalSpace α] {f g : α → Completion E}
     (hf : Continuous f) (hg : Continuous g) : Continuous (fun x : α => inner (f x) (g x) : α → 𝕜) :=
   UniformSpace.Completion.continuous_inner.comp (hf.prod_mk hg : _)
 #align uniform_space.completion.continuous.inner UniformSpace.Completion.Continuous.inner
+-/
 
 instance : InnerProductSpace 𝕜 (Completion E)
     where

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

@@ -896,7 +896,7 @@ The double sum of weighted inner products of pairs of vectors from an orthonorma
 sum of the weights.
 -/
 theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv : Orthonormal 𝕜 v)
-    {a : ι → ι → 𝕜} : (∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫) = ∑ k in s, a k k := by
+    {a : ι → ι → 𝕜} : ∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫ = ∑ k in s, a k k := by
   classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 
@@ -1794,8 +1794,8 @@ theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
 theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
-    (v₁ : ι₁ → F) (h₁ : (∑ i in s₁, w₁ i) = 0) {ι₂ : Type _} {s₂ : Finset ι₂} {w₂ : ι₂ → ℝ}
-    (v₂ : ι₂ → F) (h₂ : (∑ i in s₂, w₂ i) = 0) :
+    (v₁ : ι₁ → F) (h₁ : ∑ i in s₁, w₁ i = 0) {ι₂ : Type _} {s₂ : Finset ι₂} {w₂ : ι₂ → ℝ}
+    (v₂ : ι₂ → F) (h₂ : ∑ i in s₂, w₂ i = 0) :
     ⟪∑ i₁ in s₁, w₁ i₁ • v₁ i₁, ∑ i₂ in s₂, w₂ i₂ • v₂ i₂⟫_ℝ =
       (-∑ i₁ in s₁, ∑ i₂ in s₂, w₁ i₁ * w₂ i₂ * (‖v₁ i₁ - v₂ i₂‖ * ‖v₁ i₁ - v₂ i₂‖)) / 2 :=
   by
@@ -1939,10 +1939,10 @@ variable {ι : Type _} (x : E) {v : ι → E}
 
 /-- Bessel's inequality for finite sums. -/
 theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜 v) :
-    (∑ i in s, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 :=
+    ∑ i in s, ‖⟪v i, x⟫‖ ^ 2 ≤ ‖x‖ ^ 2 :=
   by
   have h₂ :
-    (∑ i in s, ∑ j in s, ⟪v i, x⟫ * ⟪x, v j⟫ * ⟪v j, v i⟫) = (∑ k in s, ⟪v k, x⟫ * ⟪x, v k⟫ : 𝕜) :=
+    ∑ i in s, ∑ j in s, ⟪v i, x⟫ * ⟪x, v j⟫ * ⟪v j, v i⟫ = (∑ k in s, ⟪v k, x⟫ * ⟪x, v k⟫ : 𝕜) :=
     hv.inner_left_right_finset
   have h₃ : ∀ z : 𝕜, re (z * conj z) = ‖z‖ ^ 2 :=
     by
@@ -1961,7 +1961,7 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
 
 /-- Bessel's inequality. -/
 theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
-    (∑' i, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 :=
+    ∑' i, ‖⟪v i, x⟫‖ ^ 2 ≤ ‖x‖ ^ 2 :=
   by
   refine' tsum_le_of_sum_le' _ fun s => hv.sum_inner_products_le x
   simp only [norm_nonneg, pow_nonneg]
@@ -2155,8 +2155,8 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_f
 include dec_ι
 
 theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
-    ‖(∑ i in s₁, V i (f i)) - ∑ i in s₂, V i (f i)‖ ^ 2 =
-      (∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 :=
+    ‖∑ i in s₁, V i (f i) - ∑ i in s₂, V i (f i)‖ ^ 2 =
+      ∑ i in s₁ \ s₂, ‖f i‖ ^ 2 + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 :=
   by
   rw [← Finset.sum_sdiff_sub_sum_sdiff, sub_eq_add_neg, ← Finset.sum_neg_distrib]
   let F : ∀ i, G i := fun i => if i ∈ s₁ then f i else -f i
@@ -2167,8 +2167,8 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
     dsimp only [F]
     split_ifs <;> simp only [eq_self_iff_true, norm_neg]
   have :
-    ‖(∑ i in s₁ \ s₂, V i (F i)) + ∑ i in s₂ \ s₁, V i (F i)‖ ^ 2 =
-      (∑ i in s₁ \ s₂, ‖F i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖F i‖ ^ 2 :=
+    ‖∑ i in s₁ \ s₂, V i (F i) + ∑ i in s₂ \ s₁, V i (F i)‖ ^ 2 =
+      ∑ i in s₁ \ s₂, ‖F i‖ ^ 2 + ∑ i in s₂ \ s₁, ‖F i‖ ^ 2 :=
     by
     have hs : Disjoint (s₁ \ s₂) (s₂ \ s₁) := disjoint_sdiff_sdiff
     simpa only [Finset.sum_union hs] using hV.norm_sum F (s₁ \ s₂ ∪ s₂ \ s₁)
@@ -2198,7 +2198,7 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
     refine' (abs_sub _ _).trans_lt _
     have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
     simp only [Finset.abs_sum_of_nonneg' this]
-    have : ((∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2) < sqrt ε ^ 2 :=
+    have : ∑ i in s₁ \ s₂, ‖f i‖ ^ 2 + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 < sqrt ε ^ 2 :=
       by
       rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
         abs_of_nonneg (norm_nonneg _)]
@@ -2213,14 +2213,14 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
     refine' (abs_lt_of_sq_lt_sq' _ (le_of_lt hε)).2
     have has : a ≤ s₁ ⊓ s₂ := le_inf hs₁ hs₂
     rw [hV.norm_sq_diff_sum]
-    have Hs₁ : (∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2) < ε ^ 2 / 2 :=
+    have Hs₁ : ∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2 < ε ^ 2 / 2 :=
       by
       convert H _ hs₁ _ has
       have : s₁ ⊓ s₂ ⊆ s₁ := Finset.inter_subset_left _ _
       rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
       · simp
       · exact fun i => sq_nonneg _
-    have Hs₂ : (∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2) < ε ^ 2 / 2 :=
+    have Hs₂ : ∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2 < ε ^ 2 / 2 :=
       by
       convert H _ hs₂ _ has
       have : s₁ ⊓ s₂ ⊆ s₂ := Finset.inter_subset_right _ _

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -374,7 +374,6 @@ theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
       ‖⟪x, y⟫‖ * ‖⟪x, y⟫‖ = ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ := by rw [norm_inner_symm]
       _ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := (inner_mul_inner_self_le x y)
       _ = ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) := by simp only [inner_self_eq_norm_mul_norm] <;> ring
-      
 #align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_norm
 
 #print InnerProductSpace.Core.toNormedAddCommGroup /-
@@ -742,7 +741,6 @@ theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ
     ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ‖⟪x, y⟫_ℝ‖ * ‖⟪y, x⟫_ℝ‖ := by rw [real_inner_comm y, ← norm_mul];
       exact le_abs_self _
     _ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ := @inner_mul_inner_self_le ℝ _ _ _ _ x y
-    
 #align real_inner_mul_inner_self_le real_inner_mul_inner_self_le
 
 /-- A family of vectors is linearly independent if they are nonzero
@@ -1050,7 +1048,6 @@ theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   calc
     ‖x‖ = sqrt (‖x‖ ^ 2) := (sqrt_sq (norm_nonneg _)).symm
     _ = sqrt (re ⟪x, x⟫) := congr_arg _ (norm_sq_eq_inner _)
-    
 #align norm_eq_sqrt_inner norm_eq_sqrt_inner
 
 #print norm_eq_sqrt_real_inner /-
@@ -1239,7 +1236,6 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
       rw [sqrt_mul (sq_nonneg _), sqrt_sq (norm_nonneg _),
         sqrt_sq (div_nonneg (sq_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _))),
         dist_eq_norm]
-    
 #align dist_div_norm_sq_smul dist_div_norm_sq_smul
 
 #print InnerProductSpace.toUniformConvexSpace /-
@@ -1686,7 +1682,6 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
     _ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
       ⟨fun ⟨r, h⟩ => ⟨r, fun hr₀ => hy₀ <| h.symm ▸ smul_eq_zero.2 <| Or.inl hr₀, h⟩,
         fun ⟨r, hr₀, h⟩ => ⟨r, h⟩⟩
-    
 #align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
 
 /-- The inner product of two vectors, divided by the product of their
@@ -1788,7 +1783,6 @@ theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y
     ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ ≠ ‖x‖ * ‖y‖ :=
       ⟨ne_of_lt, lt_of_le_of_ne (real_inner_le_norm _ _)⟩
     _ ↔ ‖y‖ • x ≠ ‖x‖ • y := not_congr inner_eq_norm_mul_iff_real
-    
 #align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_real
 
 /-- If the inner product of two unit vectors is strictly less than `1`, then the two vectors are
@@ -1867,7 +1861,6 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ :=
       ‖x‖ * ‖x‖ = ‖(⟪x, x⟫ : 𝕜)‖ := by
         rw [← sq, inner_self_eq_norm_sq_to_K, norm_pow, norm_of_real, abs_norm]
       _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_opNorm _
-      
 #align innerSL_apply_norm innerSL_apply_norm
 
 #print innerSLFlip /-
@@ -1913,7 +1906,6 @@ theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm
     ‖⟪v, f x⟫‖ ≤ ‖v‖ * ‖f x‖ := h₂
     _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := (mul_le_mul_of_nonneg_left h₁ (norm_nonneg v))
     _ = ‖f‖ * ‖v‖ * ‖x‖ := by ring
-    
 #align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_le
 
 end ContinuousLinearMap
@@ -2103,7 +2095,6 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
       split_ifs with h h
       · simp only [LinearIsometry.inner_map_map]
       · simp only [of_not_not h, inner_zero_right]
-    
 #align orthogonal_family.inner_right_dfinsupp OrthogonalFamily.inner_right_dfinsupp
 
 omit dec_ι dec_V
@@ -2115,7 +2106,6 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
     _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
       (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
     _ = ⟪v, l i⟫ := by simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
-    
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
@@ -2131,7 +2121,6 @@ theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
       simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map, imp_self,
         imp_true_iff]
-    
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
@@ -2262,7 +2251,6 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
       simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
         (hV.inner_right_dfinsupp v i (v i)).symm
     _ = 0 := by simp only [hv, inner_zero_right]
-    
 #align orthogonal_family.independent OrthogonalFamily.independent
 
 include dec_ι

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

@@ -999,8 +999,8 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
 #align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (w «expr ⊇ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 #print exists_maximal_orthonormal /-
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -859,7 +859,7 @@ vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
     {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by
   classical simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
-      Finset.sum_ite_eq', if_true]
+    Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
@@ -917,10 +917,10 @@ orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
     (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
   classical
-    rw [orthonormal_iff_ite] at hv ⊢
-    intro i j
-    convert hv (f i) (f j) using 1
-    simp [hf.eq_iff]
+  rw [orthonormal_iff_ite] at hv ⊢
+  intro i j
+  convert hv (f i) (f j) using 1
+  simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
 
 #print orthonormal_subtype_range /-
@@ -958,11 +958,11 @@ the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
     (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
   classical
-    rw [orthonormal_iff_ite] at *
-    intro i j
-    cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
-      simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
-        neg_eq_zero] using hv i j
+  rw [orthonormal_iff_ite] at *
+  intro i j
+  cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
+    simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
+      neg_eq_zero] using hv i j
 #align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
 
 /- The material that follows, culminating in the existence of a maximal orthonormal subset, is
@@ -981,12 +981,12 @@ theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Di
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
   by
   classical
-    rw [orthonormal_subtype_iff_ite]
-    rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
-    obtain ⟨k, hik, hjk⟩ := hs i j
-    have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
-    rw [orthonormal_subtype_iff_ite] at h_orth 
-    exact h_orth x (hik hxi) y (hjk hyj)
+  rw [orthonormal_subtype_iff_ite]
+  rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
+  obtain ⟨k, hik, hjk⟩ := hs i j
+  have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
+  rw [orthonormal_subtype_iff_ite] at h_orth 
+  exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 -/
 
@@ -1008,7 +1008,7 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
     ∃ (w : _) (_ : w ⊇ s),
       Orthonormal 𝕜 (coe : w → E) ∧ ∀ (u) (_ : u ⊇ w), Orthonormal 𝕜 (coe : u → E) → u = w :=
   by
-  obtain ⟨b, bi, sb, h⟩ := zorn_subset_nonempty { b | Orthonormal 𝕜 (coe : b → E) } _ _ hs
+  obtain ⟨b, bi, sb, h⟩ := zorn_subset_nonempty {b | Orthonormal 𝕜 (coe : b → E)} _ _ hs
   · refine' ⟨b, sb, bi, _⟩
     exact fun u hus hu => h u hu hus
   · refine' fun c hc cc c0 => ⟨⋃₀ c, _, _⟩
@@ -2111,28 +2111,27 @@ omit dec_ι dec_V
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
   classical calc
-      ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
-      _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
-        (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
-      _ = ⟪v, l i⟫ := by
-        simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
-      
+    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
+    _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
+      (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
+    _ = ⟪v, l i⟫ := by simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
+    
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
   classical calc
-      ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
-        by simp only [sum_inner, inner_sum]
-      _ = ∑ j in s, ∑ i in s, ite (i = j) ⟪V i (l₁ i), V j (l₂ j)⟫ 0 :=
-        by
-        congr with i
-        congr with j
-        apply hV.eq_ite
-      _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
-        simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map,
-          imp_self, imp_true_iff]
-      
+    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
+      by simp only [sum_inner, inner_sum]
+    _ = ∑ j in s, ∑ i in s, ite (i = j) ⟪V i (l₁ i), V j (l₂ j)⟫ 0 :=
+      by
+      congr with i
+      congr with j
+      apply hV.eq_ite
+    _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
+      simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map, imp_self,
+        imp_true_iff]
+    
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
@@ -2200,46 +2199,46 @@ omit dec_ι
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
     (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by
   classical
-    simp only [summable_iff_cauchySeq_finset, NormedAddCommGroup.cauchySeq_iff, Real.norm_eq_abs]
-    constructor
-    · intro hf ε hε
-      obtain ⟨a, H⟩ := hf _ (sqrt_pos.mpr hε)
-      use a
-      intro s₁ hs₁ s₂ hs₂
-      rw [← Finset.sum_sdiff_sub_sum_sdiff]
-      refine' (abs_sub _ _).trans_lt _
-      have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
-      simp only [Finset.abs_sum_of_nonneg' this]
-      have : ((∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2) < sqrt ε ^ 2 :=
-        by
-        rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
-          abs_of_nonneg (norm_nonneg _)]
-        exact H s₁ hs₁ s₂ hs₂
-      have hη := sq_sqrt (le_of_lt hε)
-      linarith
-    · intro hf ε hε
-      have hε' : 0 < ε ^ 2 / 2 := half_pos (sq_pos_of_pos hε)
-      obtain ⟨a, H⟩ := hf _ hε'
-      use a
-      intro s₁ hs₁ s₂ hs₂
-      refine' (abs_lt_of_sq_lt_sq' _ (le_of_lt hε)).2
-      have has : a ≤ s₁ ⊓ s₂ := le_inf hs₁ hs₂
-      rw [hV.norm_sq_diff_sum]
-      have Hs₁ : (∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2) < ε ^ 2 / 2 :=
-        by
-        convert H _ hs₁ _ has
-        have : s₁ ⊓ s₂ ⊆ s₁ := Finset.inter_subset_left _ _
-        rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
-        · simp
-        · exact fun i => sq_nonneg _
-      have Hs₂ : (∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2) < ε ^ 2 / 2 :=
-        by
-        convert H _ hs₂ _ has
-        have : s₁ ⊓ s₂ ⊆ s₂ := Finset.inter_subset_right _ _
-        rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
-        · simp
-        · exact fun i => sq_nonneg _
-      linarith
+  simp only [summable_iff_cauchySeq_finset, NormedAddCommGroup.cauchySeq_iff, Real.norm_eq_abs]
+  constructor
+  · intro hf ε hε
+    obtain ⟨a, H⟩ := hf _ (sqrt_pos.mpr hε)
+    use a
+    intro s₁ hs₁ s₂ hs₂
+    rw [← Finset.sum_sdiff_sub_sum_sdiff]
+    refine' (abs_sub _ _).trans_lt _
+    have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
+    simp only [Finset.abs_sum_of_nonneg' this]
+    have : ((∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2) < sqrt ε ^ 2 :=
+      by
+      rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
+        abs_of_nonneg (norm_nonneg _)]
+      exact H s₁ hs₁ s₂ hs₂
+    have hη := sq_sqrt (le_of_lt hε)
+    linarith
+  · intro hf ε hε
+    have hε' : 0 < ε ^ 2 / 2 := half_pos (sq_pos_of_pos hε)
+    obtain ⟨a, H⟩ := hf _ hε'
+    use a
+    intro s₁ hs₁ s₂ hs₂
+    refine' (abs_lt_of_sq_lt_sq' _ (le_of_lt hε)).2
+    have has : a ≤ s₁ ⊓ s₂ := le_inf hs₁ hs₂
+    rw [hV.norm_sq_diff_sum]
+    have Hs₁ : (∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2) < ε ^ 2 / 2 :=
+      by
+      convert H _ hs₁ _ has
+      have : s₁ ⊓ s₂ ⊆ s₁ := Finset.inter_subset_left _ _
+      rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
+      · simp
+      · exact fun i => sq_nonneg _
+    have Hs₂ : (∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2) < ε ^ 2 / 2 :=
+      by
+      convert H _ hs₂ _ has
+      have : s₁ ⊓ s₂ ⊆ s₂ := Finset.inter_subset_right _ _
+      rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
+      · simp
+      · exact fun i => sq_nonneg _
+    linarith
 #align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summable
 
 omit hV
@@ -2251,19 +2250,19 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ) :
     CompleteLattice.Independent V := by
   classical
-    apply CompleteLattice.independent_of_dfinsupp_lsum_injective
-    rw [← @LinearMap.ker_eq_bot _ _ _ _ _ _ (DirectSum.addCommGroup fun i => V i),
-      Submodule.eq_bot_iff]
-    intro v hv
-    rw [LinearMap.mem_ker] at hv 
-    ext i
-    suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
-    calc
-      ⟪(v i : E), v i⟫ = ⟪(v i : E), Dfinsupp.lsum ℕ (fun i => (V i).Subtype) v⟫ := by
-        simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
-          (hV.inner_right_dfinsupp v i (v i)).symm
-      _ = 0 := by simp only [hv, inner_zero_right]
-      
+  apply CompleteLattice.independent_of_dfinsupp_lsum_injective
+  rw [← @LinearMap.ker_eq_bot _ _ _ _ _ _ (DirectSum.addCommGroup fun i => V i),
+    Submodule.eq_bot_iff]
+  intro v hv
+  rw [LinearMap.mem_ker] at hv 
+  ext i
+  suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
+  calc
+    ⟪(v i : E), v i⟫ = ⟪(v i : E), Dfinsupp.lsum ℕ (fun i => (V i).Subtype) v⟫ := by
+      simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
+        (hV.inner_right_dfinsupp v i (v i)).symm
+    _ = 0 := by simp only [hv, inner_zero_right]
+    
 #align orthogonal_family.independent OrthogonalFamily.independent
 
 include dec_ι

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -113,7 +113,7 @@ spaces.
 To construct a norm from an inner product, see `inner_product_space.of_core`.
 -/
 class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] [NormedAddCommGroup E] extends
-  NormedSpace 𝕜 E, Inner 𝕜 E where
+    NormedSpace 𝕜 E, Inner 𝕜 E where
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
   conj_symm : ∀ x y, conj (inner y x) = inner x y
   add_left : ∀ x y z, inner (x + y) z = inner x z + inner y z
@@ -145,7 +145,7 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 can construct an `inner_product_space` instance in `inner_product_space.of_core`. -/
 @[nolint has_nonempty_instance]
 structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [IsROrC 𝕜] [AddCommGroup F]
-  [Module 𝕜 F] extends Inner 𝕜 F where
+    [Module 𝕜 F] extends Inner 𝕜 F where
   conj_symm : ∀ x y, conj (inner y x) = inner x y
   nonneg_re : ∀ x, 0 ≤ re (inner x x)
   definite : ∀ x, inner x x = 0 → x = 0
@@ -801,7 +801,7 @@ theorem orthonormal_iff_ite {v : ι → E} :
       have h' : ‖v i‖ ^ 2 = 1 ^ 2 := by simp [@norm_sq_eq_inner 𝕜, h i i]
       have h₁ : 0 ≤ ‖v i‖ := norm_nonneg _
       have h₂ : (0 : ℝ) ≤ 1 := zero_le_one
-      rwa [sq_eq_sq h₁ h₂] at h'
+      rwa [sq_eq_sq h₁ h₂] at h' 
     · intro i j hij
       simpa [hij] using h i j
 #align orthonormal_iff_ite orthonormal_iff_ite
@@ -917,7 +917,7 @@ orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
     (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
   classical
-    rw [orthonormal_iff_ite] at hv⊢
+    rw [orthonormal_iff_ite] at hv ⊢
     intro i j
     convert hv (f i) (f j) using 1
     simp [hf.eq_iff]
@@ -949,7 +949,7 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
     (hi : i ∉ s) {l : ι →₀ 𝕜} (hl : l ∈ Finsupp.supported 𝕜 𝕜 s) :
     ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = 0 :=
   by
-  rw [Finsupp.mem_supported'] at hl
+  rw [Finsupp.mem_supported'] at hl 
   simp only [hv.inner_left_finsupp, hl i hi, map_zero]
 #align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zero
 
@@ -985,7 +985,7 @@ theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Di
     rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
     obtain ⟨k, hik, hjk⟩ := hs i j
     have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
-    rw [orthonormal_subtype_iff_ite] at h_orth
+    rw [orthonormal_subtype_iff_ite] at h_orth 
     exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 -/
@@ -1005,7 +1005,7 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/
 theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s → E)) :
-    ∃ (w : _)(_ : w ⊇ s),
+    ∃ (w : _) (_ : w ⊇ s),
       Orthonormal 𝕜 (coe : w → E) ∧ ∀ (u) (_ : u ⊇ w), Orthonormal 𝕜 (coe : u → E) → u = w :=
   by
   obtain ⟨b, bi, sb, h⟩ := zorn_subset_nonempty { b | Orthonormal 𝕜 (coe : b → E) } _ _ hs
@@ -1419,7 +1419,7 @@ isometric equivalence. -/
 def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (hf : Orthonormal 𝕜 (f ∘ v)) : E ≃ₗᵢ[𝕜] E' :=
   f.isometryOfInner fun x y => by
-    rw [← LinearEquiv.coe_coe] at hf
+    rw [← LinearEquiv.coe_coe] at hf 
     rw [← v.total_repr x, ← v.total_repr y, ← LinearEquiv.coe_coe, Finsupp.apply_total,
       Finsupp.apply_total, hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormal
@@ -1574,7 +1574,7 @@ theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 
     sub_eq_zero, re_to_real]
   constructor
   · intro h
-    rw [add_comm] at h
+    rw [add_comm] at h 
     linarith
   · intro h
     linarith
@@ -1657,11 +1657,11 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
   · refine' fun h => or_iff_not_imp_left.2 fun hx₀ => _
     have : ‖x‖ ^ 2 ≠ 0 := pow_ne_zero _ (norm_ne_zero_iff.2 hx₀)
     rw [← sq_eq_sq (norm_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _)), mul_pow, ←
-      mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h
-    simp only [@norm_sq_eq_inner 𝕜] at h
+      mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h 
+    simp only [@norm_sq_eq_inner 𝕜] at h 
     letI : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
     erw [← InnerProductSpace.Core.cauchy_schwarz_aux, InnerProductSpace.Core.normSq_eq_zero,
-      sub_eq_zero] at h
+      sub_eq_zero] at h 
     rw [div_eq_inv_mul, mul_smul, h, inv_smul_smul₀]
     rwa [inner_self_ne_zero]
   tfae_have 2 → 3; exact fun h => h.imp_right fun h' => ⟨_, h'⟩
@@ -1718,7 +1718,7 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y :=
   by
   have h₀' := h₀
-  rw [← norm_ne_zero_iff, Ne.def, ← @of_real_eq_zero 𝕜] at h₀'
+  rw [← norm_ne_zero_iff, Ne.def, ← @of_real_eq_zero 𝕜] at h₀' 
   constructor <;> intro h
   · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
       ((@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
@@ -2151,7 +2151,7 @@ theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injec
 
 theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
-    Orthonormal 𝕜 fun a : Σi, α i => V a.1 (v_family a.1 a.2) :=
+    Orthonormal 𝕜 fun a : Σ i, α i => V a.1 (v_family a.1 a.2) :=
   by
   constructor
   · rintro ⟨i, v⟩
@@ -2255,7 +2255,7 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     rw [← @LinearMap.ker_eq_bot _ _ _ _ _ _ (DirectSum.addCommGroup fun i => V i),
       Submodule.eq_bot_iff]
     intro v hv
-    rw [LinearMap.mem_ker] at hv
+    rw [LinearMap.mem_ker] at hv 
     ext i
     suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
     calc

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -923,6 +923,7 @@ theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v)
     simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
 
+#print orthonormal_subtype_range /-
 /-- An injective family `v : ι → E` is orthonormal if and only if `coe : (range v) → E` is
 orthonormal. -/
 theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
@@ -933,6 +934,7 @@ theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
   rw [← Equiv.self_comp_ofInjective_symm hv]
   exact h.comp f.symm f.symm.injective
 #align orthonormal_subtype_range orthonormal_subtype_range
+-/
 
 /-- If `v : ι → E` is an orthonormal family, then `coe : (range v) → E` is an orthonormal
 family. -/
@@ -974,6 +976,7 @@ theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E)
 
 variable {𝕜 E}
 
+#print orthonormal_iUnion_of_directed /-
 theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
   by
@@ -985,16 +988,20 @@ theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Di
     rw [orthonormal_subtype_iff_ite] at h_orth
     exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
+-/
 
+#print orthonormal_sUnion_of_directed /-
 theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
     (h : ∀ a ∈ s, Orthonormal 𝕜 (fun x => x : (a : Set E) → E)) :
     Orthonormal 𝕜 (fun x => x : ⋃₀ s → E) := by
   rw [Set.sUnion_eq_iUnion] <;>
     exact orthonormal_iUnion_of_directed hs.directed_coe (by simpa using h)
 #align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
+-/
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
+#print exists_maximal_orthonormal /-
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/
 theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s → E)) :
@@ -1008,6 +1015,7 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
     · exact orthonormal_sUnion_of_directed cc.directed_on fun x xc => hc xc
     · exact fun _ => Set.subset_sUnion_of_mem
 #align exists_maximal_orthonormal exists_maximal_orthonormal
+-/
 
 theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) : v i ≠ 0 :=
   by
@@ -1019,11 +1027,13 @@ theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) :
 
 open FiniteDimensional
 
+#print basisOfOrthonormalOfCardEqFinrank /-
 /-- A family of orthonormal vectors with the correct cardinality forms a basis. -/
 def basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E} (hv : Orthonormal 𝕜 v)
     (card_eq : Fintype.card ι = finrank 𝕜 E) : Basis ι 𝕜 E :=
   basisOfLinearIndependentOfCardEqFinrank hv.LinearIndependent card_eq
 #align basis_of_orthonormal_of_card_eq_finrank basisOfOrthonormalOfCardEqFinrank
+-/
 
 @[simp]
 theorem coe_basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E}

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -75,7 +75,7 @@ noncomputable section
 
 open IsROrC Real Filter
 
-open BigOperators Topology ComplexConjugate
+open scoped BigOperators Topology ComplexConjugate
 
 variable {𝕜 E F : Type _} [IsROrC 𝕜]
 
@@ -2038,7 +2038,7 @@ section OrthogonalFamily
 
 variable {ι : Type _} [dec_ι : DecidableEq ι] (𝕜)
 
-open DirectSum
+open scoped DirectSum
 
 #print OrthogonalFamily /-
 /-- An indexed family of mutually-orthogonal subspaces of an inner product space `E`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -215,230 +215,107 @@ def normSq (x : F) :=
 -- mathport name: exprnorm_sqF
 local notation "norm_sqF" => @normSq 𝕜 F _ _ _ _
 
-/- warning: inner_product_space.core.inner_conj_symm -> InnerProductSpace.Core.inner_conj_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symmₓ'. -/
 theorem inner_conj_symm (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
   c.conj_symm x y
 #align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symm
 
-/- warning: inner_product_space.core.inner_self_nonneg -> InnerProductSpace.Core.inner_self_nonneg is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonnegₓ'. -/
 theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
 #align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonneg
 
-/- warning: inner_product_space.core.inner_self_im -> InnerProductSpace.Core.inner_self_im is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_imₓ'. -/
 theorem inner_self_im (x : F) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
 #align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_im
 
-/- warning: inner_product_space.core.inner_add_left -> InnerProductSpace.Core.inner_add_left is a dubious translation:
-lean 3 declaration is
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 theorem inner_add_left (x y z : F) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   c.add_left _ _ _
 #align inner_product_space.core.inner_add_left InnerProductSpace.Core.inner_add_left
 
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 theorem inner_add_right (x y z : F) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add] <;> simp only [inner_conj_symm]
 #align inner_product_space.core.inner_add_right InnerProductSpace.Core.inner_add_right
 
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 theorem ofReal_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
   by
   rw [ext_iff]
   exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_im, of_real_im]⟩
 #align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.ofReal_normSq_eq_inner_self
 
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 theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symm
 
-/- warning: inner_product_space.core.inner_im_symm -> InnerProductSpace.Core.inner_im_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symmₓ'. -/
 theorem inner_im_symm (x y : F) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symm
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_leftₓ'. -/
 theorem inner_smul_left (x y : F) {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   c.smul_left _ _ _
 #align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_left
 
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 theorem inner_smul_right (x y : F) {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left] <;>
     simp only [conj_conj, inner_conj_symm, RingHom.map_mul]
 #align inner_product_space.core.inner_smul_right InnerProductSpace.Core.inner_smul_right
 
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 theorem inner_zero_left (x : F) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;>
     simp only [MulZeroClass.zero_mul, RingHom.map_zero]
 #align inner_product_space.core.inner_zero_left InnerProductSpace.Core.inner_zero_left
 
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 theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left] <;> simp only [RingHom.map_zero]
 #align inner_product_space.core.inner_zero_right InnerProductSpace.Core.inner_zero_right
 
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 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
   ⟨c.definite _, by rintro rfl; exact inner_zero_left _⟩
 #align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zero
 
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 theorem normSq_eq_zero {x : F} : norm_sqF x = 0 ↔ x = 0 :=
   Iff.trans
     (by simp only [norm_sq, ext_iff, map_zero, inner_self_im, eq_self_iff_true, and_true_iff])
     (@inner_self_eq_zero 𝕜 _ _ _ _ _ x)
 #align inner_product_space.core.norm_sq_eq_zero InnerProductSpace.Core.normSq_eq_zero
 
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 theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zero
 
-/- warning: inner_product_space.core.inner_self_re_to_K -> InnerProductSpace.Core.inner_self_ofReal_re is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_reₓ'. -/
 theorem inner_self_ofReal_re (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_im]
 #align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_re
 
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 theorem norm_inner_symm (x y : F) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align inner_product_space.core.norm_inner_symm InnerProductSpace.Core.norm_inner_symm
 
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 theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ := by rw [← neg_one_smul 𝕜 x, inner_smul_left];
   simp
 #align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_left
 
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 theorem inner_neg_right (x y : F) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_product_space.core.inner_neg_right InnerProductSpace.Core.inner_neg_right
 
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 theorem inner_sub_left (x y z : F) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left, inner_neg_left]
 #align inner_product_space.core.inner_sub_left InnerProductSpace.Core.inner_sub_left
 
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 theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right, inner_neg_right]
 #align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_right
 
-/- warning: inner_product_space.core.inner_mul_symm_re_eq_norm -> InnerProductSpace.Core.inner_mul_symm_re_eq_norm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_normₓ'. -/
 theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ := by
   rw [← inner_conj_symm, mul_comm]; exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_norm
 
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 /-- Expand `inner (x + y) (x + y)` -/
 theorem inner_add_add_self (x y : F) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_product_space.core.inner_add_add_self InnerProductSpace.Core.inner_add_add_self
 
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-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_selfₓ'. -/
 -- Expand `inner (x - y) (x - y)`
 theorem inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_self
 
-/- warning: inner_product_space.core.cauchy_schwarz_aux -> InnerProductSpace.Core.cauchy_schwarz_aux is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_auxₓ'. -/
 /-- An auxiliary equality useful to prove the **Cauchy–Schwarz inequality**: the square of the norm
 of `⟪x, y⟫ • x - ⟪x, x⟫ • y` is equal to `‖x‖ ^ 2 * (‖x‖ ^ 2 * ‖y‖ ^ 2 - ‖⟪x, y⟫‖ ^ 2)`. We use
 `inner_product_space.of_core.norm_sq x` etc (defeq to `is_R_or_C.re ⟪x, x⟫`) instead of `‖x‖ ^ 2`
@@ -455,9 +332,6 @@ theorem cauchy_schwarz_aux (x y : F) :
   ring
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
 
-/- warning: inner_product_space.core.inner_mul_inner_self_le -> InnerProductSpace.Core.inner_mul_inner_self_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_leₓ'. -/
 /-- **Cauchy–Schwarz inequality**.
 We need this for the `core` structure to prove the triangle inequality below when
 showing the core is a normed group.
@@ -481,36 +355,18 @@ def toNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
 
 attribute [local instance] to_has_norm
 
-/- warning: inner_product_space.core.norm_eq_sqrt_inner -> InnerProductSpace.Core.norm_eq_sqrt_inner is a dubious translation:
-<too large>
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 theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   rfl
 #align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_inner
 
-/- warning: inner_product_space.core.inner_self_eq_norm_mul_norm -> InnerProductSpace.Core.inner_self_eq_norm_mul_norm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_normₓ'. -/
 theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
 #align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_norm
 
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-Case conversion may be inaccurate. Consider using '#align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_normₓ'. -/
 theorem sqrt_normSq_eq_norm (x : F) : sqrt (norm_sqF x) = ‖x‖ :=
   rfl
 #align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_norm
 
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 /-- Cauchy–Schwarz inequality with norm -/
 theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) <|
@@ -604,12 +460,6 @@ export InnerProductSpace (norm_sq_eq_inner)
 
 section BasicProperties
 
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 @[simp]
 theorem inner_conj_symm (x y : E) : ⟪y, x⟫† = ⟪x, y⟫ :=
   InnerProductSpace.conj_symm _ _
@@ -621,108 +471,48 @@ theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
 #align real_inner_comm real_inner_comm
 -/
 
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 theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 := by rw [← inner_conj_symm];
   exact star_eq_zero
 #align inner_eq_zero_symm inner_eq_zero_symm
 
-/- warning: inner_self_im -> inner_self_im is a dubious translation:
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 @[simp]
 theorem inner_self_im (x : E) : im ⟪x, x⟫ = 0 := by rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
 #align inner_self_im inner_self_im
 
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 theorem inner_add_left (x y z : E) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   InnerProductSpace.add_left _ _ _
 #align inner_add_left inner_add_left
 
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 theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add]; simp only [inner_conj_symm]
 #align inner_add_right inner_add_right
 
-/- warning: inner_re_symm -> inner_re_symm is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align inner_re_symm inner_re_symmₓ'. -/
 theorem inner_re_symm (x y : E) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_re_symm inner_re_symm
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_im_symm inner_im_symmₓ'. -/
 theorem inner_im_symm (x y : E) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_im_symm inner_im_symm
 
-/- warning: inner_smul_left -> inner_smul_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_smul_left inner_smul_leftₓ'. -/
 theorem inner_smul_left (x y : E) (r : 𝕜) : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   InnerProductSpace.smul_left _ _ _
 #align inner_smul_left inner_smul_left
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_smul_left real_inner_smul_leftₓ'. -/
 theorem real_inner_smul_left (x y : F) (r : ℝ) : ⟪r • x, y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
   inner_smul_left _ _ _
 #align real_inner_smul_left real_inner_smul_left
 
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-Case conversion may be inaccurate. Consider using '#align inner_smul_real_left inner_smul_real_leftₓ'. -/
 theorem inner_smul_real_left (x y : E) (r : ℝ) : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ := by
   rw [inner_smul_left, conj_of_real, Algebra.smul_def]; rfl
 #align inner_smul_real_left inner_smul_real_left
 
-/- warning: inner_smul_right -> inner_smul_right is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align inner_smul_right inner_smul_rightₓ'. -/
 theorem inner_smul_right (x y : E) (r : 𝕜) : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left, RingHom.map_mul, conj_conj, inner_conj_symm]
 #align inner_smul_right inner_smul_right
 
-/- warning: real_inner_smul_right -> real_inner_smul_right is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align real_inner_smul_right real_inner_smul_rightₓ'. -/
 theorem real_inner_smul_right (x y : F) (r : ℝ) : ⟪x, r • y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
   inner_smul_right _ _ _
 #align real_inner_smul_right real_inner_smul_right
 
-/- warning: inner_smul_real_right -> inner_smul_real_right is a dubious translation:
-lean 3 declaration is
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_inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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-Case conversion may be inaccurate. Consider using '#align inner_smul_real_right inner_smul_real_rightₓ'. -/
 theorem inner_smul_real_right (x y : E) (r : ℝ) : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ := by
   rw [inner_smul_right, Algebra.smul_def]; rfl
 #align inner_smul_real_right inner_smul_real_right
@@ -752,33 +542,18 @@ def bilinFormOfRealInner : BilinForm ℝ F
 #align bilin_form_of_real_inner bilinFormOfRealInner
 -/
 
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 /-- An inner product with a sum on the left. -/
 theorem sum_inner {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪∑ i in s, f i, x⟫ = ∑ i in s, ⟪f i, x⟫ :=
   (sesqFormOfInner x).map_sum
 #align sum_inner sum_inner
 
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 /-- An inner product with a sum on the right. -/
 theorem inner_sum {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪x, ∑ i in s, f i⟫ = ∑ i in s, ⟪x, f i⟫ :=
   (LinearMap.flip sesqFormOfInner x).map_sum
 #align inner_sum inner_sum
 
-/- warning: finsupp.sum_inner -> Finsupp.sum_inner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finsupp.sum_inner Finsupp.sum_innerₓ'. -/
 /-- An inner product with a sum on the left, `finsupp` version. -/
 theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪l.Sum fun (i : ι) (a : 𝕜) => a • v i, x⟫ = l.Sum fun (i : ι) (a : 𝕜) => conj a • ⟪v i, x⟫ :=
@@ -787,9 +562,6 @@ theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   simp only [inner_smul_left, Finsupp.sum, smul_eq_mul]
 #align finsupp.sum_inner Finsupp.sum_inner
 
-/- warning: finsupp.inner_sum -> Finsupp.inner_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finsupp.inner_sum Finsupp.inner_sumₓ'. -/
 /-- An inner product with a sum on the right, `finsupp` version. -/
 theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪x, l.Sum fun (i : ι) (a : 𝕜) => a • v i⟫ = l.Sum fun (i : ι) (a : 𝕜) => a • ⟪x, v i⟫ :=
@@ -798,104 +570,53 @@ theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   simp only [inner_smul_right, Finsupp.sum, smul_eq_mul]
 #align finsupp.inner_sum Finsupp.inner_sum
 
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 theorem Dfinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.Sum f, x⟫ = l.Sum fun i a => ⟪f i a, x⟫ := by
   simp (config := { contextual := true }) only [Dfinsupp.sum, sum_inner, smul_eq_mul]
 #align dfinsupp.sum_inner Dfinsupp.sum_inner
 
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 theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.Sum f⟫ = l.Sum fun i a => ⟪x, f i a⟫ := by
   simp (config := { contextual := true }) only [Dfinsupp.sum, inner_sum, smul_eq_mul]
 #align dfinsupp.inner_sum Dfinsupp.inner_sum
 
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 @[simp]
 theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, MulZeroClass.zero_mul]
 #align inner_zero_left inner_zero_left
 
-/- warning: inner_re_zero_left -> inner_re_zero_left is a dubious translation:
-<too large>
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 theorem inner_re_zero_left (x : E) : re ⟪0, x⟫ = 0 := by
   simp only [inner_zero_left, AddMonoidHom.map_zero]
 #align inner_re_zero_left inner_re_zero_left
 
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 @[simp]
 theorem inner_zero_right (x : E) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left, RingHom.map_zero]
 #align inner_zero_right inner_zero_right
 
-/- warning: inner_re_zero_right -> inner_re_zero_right is a dubious translation:
-<too large>
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 theorem inner_re_zero_right (x : E) : re ⟪x, 0⟫ = 0 := by
   simp only [inner_zero_right, AddMonoidHom.map_zero]
 #align inner_re_zero_right inner_re_zero_right
 
-/- warning: inner_self_nonneg -> inner_self_nonneg is a dubious translation:
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 theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ :=
   InnerProductSpace.toCore.nonneg_re x
 #align inner_self_nonneg inner_self_nonneg
 
-/- warning: real_inner_self_nonneg -> real_inner_self_nonneg is a dubious translation:
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 theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
   @inner_self_nonneg ℝ F _ _ _ x
 #align real_inner_self_nonneg real_inner_self_nonneg
 
-/- warning: inner_self_re_to_K -> inner_self_ofReal_re is a dubious translation:
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 @[simp]
 theorem inner_self_ofReal_re (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
   ((IsROrC.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
 #align inner_self_re_to_K inner_self_ofReal_re
 
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 theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) := by
   rw [← inner_self_ofReal_re, ← norm_sq_eq_inner, of_real_pow]
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
 
-/- warning: inner_self_re_eq_norm -> inner_self_re_eq_norm is a dubious translation:
-<too large>
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 theorem inner_self_re_eq_norm (x : E) : re ⟪x, x⟫ = ‖⟪x, x⟫‖ :=
   by
   conv_rhs => rw [← inner_self_ofReal_re]
@@ -903,160 +624,70 @@ theorem inner_self_re_eq_norm (x : E) : re ⟪x, x⟫ = ‖⟪x, x⟫‖ :=
   exact norm_of_nonneg inner_self_nonneg
 #align inner_self_re_eq_norm inner_self_re_eq_norm
 
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 theorem inner_self_ofReal_norm (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ := by rw [← inner_self_re_eq_norm];
   exact inner_self_ofReal_re _
 #align inner_self_norm_to_K inner_self_ofReal_norm
 
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 theorem real_inner_self_abs (x : F) : |⟪x, x⟫_ℝ| = ⟪x, x⟫_ℝ :=
   @inner_self_ofReal_norm ℝ F _ _ _ x
 #align real_inner_self_abs real_inner_self_abs
 
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 @[simp]
 theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 := by
   rw [inner_self_eq_norm_sq_to_K, sq_eq_zero_iff, of_real_eq_zero, norm_eq_zero]
 #align inner_self_eq_zero inner_self_eq_zero
 
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 theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_self_ne_zero inner_self_ne_zero
 
-/- warning: inner_self_nonpos -> inner_self_nonpos is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_self_nonpos inner_self_nonposₓ'. -/
 @[simp]
 theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 := by
   rw [← norm_sq_eq_inner, (sq_nonneg _).le_iff_eq, sq_eq_zero_iff, norm_eq_zero]
 #align inner_self_nonpos inner_self_nonpos
 
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 theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
   @inner_self_nonpos ℝ F _ _ _ x
 #align real_inner_self_nonpos real_inner_self_nonpos
 
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 theorem norm_inner_symm (x y : E) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align norm_inner_symm norm_inner_symm
 
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 @[simp]
 theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ := by rw [← neg_one_smul 𝕜 x, inner_smul_left];
   simp
 #align inner_neg_left inner_neg_left
 
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 @[simp]
 theorem inner_neg_right (x y : E) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_neg_right inner_neg_right
 
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 theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 #align inner_neg_neg inner_neg_neg
 
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 @[simp]
 theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := by
   rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im, neg_zero]⟩
 #align inner_self_conj inner_self_conj
 
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 theorem inner_sub_left (x y z : E) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left]
 #align inner_sub_left inner_sub_left
 
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 theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right]
 #align inner_sub_right inner_sub_right
 
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 theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ := by
   rw [← inner_conj_symm, mul_comm]; exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_norm
 
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 /-- Expand `⟪x + y, x + y⟫` -/
 theorem inner_add_add_self (x y : E) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_add_add_self inner_add_add_self
 
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 /-- Expand `⟪x + y, x + y⟫_ℝ` -/
 theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_ℝ + 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
@@ -1065,23 +696,11 @@ theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_
   ring
 #align real_inner_add_add_self real_inner_add_add_self
 
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 -- Expand `⟪x - y, x - y⟫`
 theorem inner_sub_sub_self (x y : E) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_sub_sub_self inner_sub_sub_self
 
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 /-- Expand `⟪x - y, x - y⟫_ℝ` -/
 theorem real_inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫_ℝ = ⟪x, x⟫_ℝ - 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
@@ -1094,22 +713,10 @@ variable (𝕜)
 
 include 𝕜
 
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 theorem ext_inner_left {x y : E} (h : ∀ v, ⟪v, x⟫ = ⟪v, y⟫) : x = y := by
   rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_right, sub_eq_zero, h (x - y)]
 #align ext_inner_left ext_inner_left
 
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 theorem ext_inner_right {x y : E} (h : ∀ v, ⟪x, v⟫ = ⟪y, v⟫) : x = y := by
   rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_left, sub_eq_zero, h (x - y)]
 #align ext_inner_right ext_inner_right
@@ -1118,32 +725,17 @@ omit 𝕜
 
 variable {𝕜}
 
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 /-- Parallelogram law -/
 theorem parallelogram_law {x y : E} : ⟪x + y, x + y⟫ + ⟪x - y, x - y⟫ = 2 * (⟪x, x⟫ + ⟪y, y⟫) := by
   simp [inner_add_add_self, inner_sub_sub_self, two_mul, sub_eq_add_neg, add_comm, add_left_comm]
 #align parallelogram_law parallelogram_law
 
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 /-- **Cauchy–Schwarz inequality**. -/
 theorem inner_mul_inner_self_le (x y : E) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
   letI c : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
   InnerProductSpace.Core.inner_mul_inner_self_le x y
 #align inner_mul_inner_self_le inner_mul_inner_self_le
 
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 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   calc
@@ -1153,12 +745,6 @@ theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ
     
 #align real_inner_mul_inner_self_le real_inner_mul_inner_self_le
 
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 /-- A family of vectors is linearly independent if they are nonzero
 and orthogonal. -/
 theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type _} {v : ι → E} (hz : ∀ i, v i ≠ 0)
@@ -1199,12 +785,6 @@ variable {𝕜}
 
 include dec_ι
 
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-Case conversion may be inaccurate. Consider using '#align orthonormal_iff_ite orthonormal_iff_iteₓ'. -/
 /-- `if ... then ... else` characterization of an indexed set of vectors being orthonormal.  (Inner
 product equals Kronecker delta.) -/
 theorem orthonormal_iff_ite {v : ι → E} :
@@ -1230,12 +810,6 @@ omit dec_ι
 
 include dec_E
 
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-Case conversion may be inaccurate. Consider using '#align orthonormal_subtype_iff_ite orthonormal_subtype_iff_iteₓ'. -/
 /-- `if ... then ... else` characterization of a set of vectors being orthonormal.  (Inner product
 equals Kronecker delta.) -/
 theorem orthonormal_subtype_iff_ite {s : Set E} :
@@ -1253,9 +827,6 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
 
 omit dec_E
 
-/- warning: orthonormal.inner_right_finsupp -> Orthonormal.inner_right_finsupp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsuppₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
@@ -1263,9 +834,6 @@ theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
   classical simp [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv]
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 
-/- warning: orthonormal.inner_right_sum -> Orthonormal.inner_right_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_sum Orthonormal.inner_right_sumₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
@@ -1273,9 +841,6 @@ theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l
   classical simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 
-/- warning: orthonormal.inner_right_fintype -> Orthonormal.inner_right_fintype is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_fintype Orthonormal.inner_right_fintypeₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜)
@@ -1283,18 +848,12 @@ theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthon
   hv.inner_right_sum l (Finset.mem_univ _)
 #align orthonormal.inner_right_fintype Orthonormal.inner_right_fintype
 
-/- warning: orthonormal.inner_left_finsupp -> Orthonormal.inner_left_finsupp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsuppₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
     ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = conj (l i) := by rw [← inner_conj_symm, hv.inner_right_finsupp]
 #align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsupp
 
-/- warning: orthonormal.inner_left_sum -> Orthonormal.inner_left_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_sum Orthonormal.inner_left_sumₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
@@ -1303,9 +862,6 @@ theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l :
       Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 
-/- warning: orthonormal.inner_left_fintype -> Orthonormal.inner_left_fintype is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_fintype Orthonormal.inner_left_fintypeₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_fintype [Fintype ι] {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜)
@@ -1313,9 +869,6 @@ theorem Orthonormal.inner_left_fintype [Fintype ι] {v : ι → E} (hv : Orthono
   hv.inner_left_sum l (Finset.mem_univ _)
 #align orthonormal.inner_left_fintype Orthonormal.inner_left_fintype
 
-/- warning: orthonormal.inner_finsupp_eq_sum_left -> Orthonormal.inner_finsupp_eq_sum_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_leftₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the first `finsupp`. -/
 theorem Orthonormal.inner_finsupp_eq_sum_left {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι →₀ 𝕜) :
@@ -1323,9 +876,6 @@ theorem Orthonormal.inner_finsupp_eq_sum_left {v : ι → E} (hv : Orthonormal 
   simp only [l₁.total_apply _, Finsupp.sum_inner, hv.inner_right_finsupp, smul_eq_mul]
 #align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_left
 
-/- warning: orthonormal.inner_finsupp_eq_sum_right -> Orthonormal.inner_finsupp_eq_sum_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_rightₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the second `finsupp`. -/
 theorem Orthonormal.inner_finsupp_eq_sum_right {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι →₀ 𝕜) :
@@ -1333,9 +883,6 @@ theorem Orthonormal.inner_finsupp_eq_sum_right {v : ι → E} (hv : Orthonormal
   simp only [l₂.total_apply _, Finsupp.inner_sum, hv.inner_left_finsupp, mul_comm, smul_eq_mul]
 #align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_right
 
-/- warning: orthonormal.inner_sum -> Orthonormal.inner_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.inner_sum Orthonormal.inner_sumₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum. -/
 theorem Orthonormal.inner_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι → 𝕜) (s : Finset ι) :
@@ -1346,12 +893,6 @@ theorem Orthonormal.inner_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l
   rw [hv.inner_right_sum l₂ hi]
 #align orthonormal.inner_sum Orthonormal.inner_sum
 
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 /--
 The double sum of weighted inner products of pairs of vectors from an orthonormal sequence is the
 sum of the weights.
@@ -1361,12 +902,6 @@ theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv :
   classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 
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 /-- An orthonormal set is linearly independent. -/
 theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) : LinearIndependent 𝕜 v :=
   by
@@ -1377,12 +912,6 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
   simpa only [hv.inner_right_finsupp, inner_zero_right] using key
 #align orthonormal.linear_independent Orthonormal.linearIndependent
 
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 /-- A subfamily of an orthonormal family (i.e., a composition with an injective map) is an
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
@@ -1394,12 +923,6 @@ theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v)
     simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
 
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 /-- An injective family `v : ι → E` is orthonormal if and only if `coe : (range v) → E` is
 orthonormal. -/
 theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
@@ -1411,12 +934,6 @@ theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
   exact h.comp f.symm f.symm.injective
 #align orthonormal_subtype_range orthonormal_subtype_range
 
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 /-- If `v : ι → E` is an orthonormal family, then `coe : (range v) → E` is an orthonormal
 family. -/
 theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
@@ -1424,9 +941,6 @@ theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
   (orthonormal_subtype_range hv.LinearIndependent.Injective).2 hv
 #align orthonormal.to_subtype_range Orthonormal.toSubtypeRange
 
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-<too large>
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 /-- A linear combination of some subset of an orthonormal set is orthogonal to other members of the
 set. -/
 theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜 v) {s : Set ι} {i : ι}
@@ -1437,12 +951,6 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
   simp only [hv.inner_left_finsupp, hl i hi, map_zero]
 #align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zero
 
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 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
@@ -1460,24 +968,12 @@ adapted from the corresponding development of the theory of linearly independent
 `exists_linear_independent` in particular. -/
 variable (𝕜 E)
 
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 theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
   classical simp [orthonormal_subtype_iff_ite]
 #align orthonormal_empty orthonormal_empty
 
 variable {𝕜 E}
 
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 theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
   by
@@ -1490,12 +986,6 @@ theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Di
     exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 
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 theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
     (h : ∀ a ∈ s, Orthonormal 𝕜 (fun x => x : (a : Set E) → E)) :
     Orthonormal 𝕜 (fun x => x : ⋃₀ s → E) := by
@@ -1503,12 +993,6 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
     exact orthonormal_iUnion_of_directed hs.directed_coe (by simpa using h)
 #align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
 
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 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
@@ -1525,12 +1009,6 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
     · exact fun _ => Set.subset_sUnion_of_mem
 #align exists_maximal_orthonormal exists_maximal_orthonormal
 
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 theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) : v i ≠ 0 :=
   by
   have : ‖v i‖ ≠ 0 := by
@@ -1541,24 +1019,12 @@ theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) :
 
 open FiniteDimensional
 
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 /-- A family of orthonormal vectors with the correct cardinality forms a basis. -/
 def basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E} (hv : Orthonormal 𝕜 v)
     (card_eq : Fintype.card ι = finrank 𝕜 E) : Basis ι 𝕜 E :=
   basisOfLinearIndependentOfCardEqFinrank hv.LinearIndependent card_eq
 #align basis_of_orthonormal_of_card_eq_finrank basisOfOrthonormalOfCardEqFinrank
 
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 @[simp]
 theorem coe_basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E}
     (hv : Orthonormal 𝕜 v) (card_eq : Fintype.card ι = finrank 𝕜 E) :
@@ -1570,9 +1036,6 @@ end OrthonormalSets
 
 section Norm
 
-/- warning: norm_eq_sqrt_inner -> norm_eq_sqrt_inner is a dubious translation:
-<too large>
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 theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   calc
     ‖x‖ = sqrt (‖x‖ ^ 2) := (sqrt_sq (norm_nonneg _)).symm
@@ -1586,46 +1049,25 @@ theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
 #align norm_eq_sqrt_real_inner norm_eq_sqrt_real_inner
 -/
 
-/- warning: inner_self_eq_norm_mul_norm -> inner_self_eq_norm_mul_norm is a dubious translation:
-<too large>
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 theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [@norm_eq_sqrt_inner 𝕜, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫),
     sqrt_mul_self inner_self_nonneg]
 #align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_norm
 
-/- warning: inner_self_eq_norm_sq -> inner_self_eq_norm_sq is a dubious translation:
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 theorem inner_self_eq_norm_sq (x : E) : re ⟪x, x⟫ = ‖x‖ ^ 2 := by
   rw [pow_two, inner_self_eq_norm_mul_norm]
 #align inner_self_eq_norm_sq inner_self_eq_norm_sq
 
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 theorem real_inner_self_eq_norm_mul_norm (x : F) : ⟪x, x⟫_ℝ = ‖x‖ * ‖x‖ := by
   have h := @inner_self_eq_norm_mul_norm ℝ F _ _ _ x; simpa using h
 #align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_norm
 
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 theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
   rw [pow_two, real_inner_self_eq_norm_mul_norm]
 #align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sq
 
 variable (𝕜)
 
-/- warning: norm_add_sq -> norm_add_sq is a dubious translation:
-<too large>
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 /-- Expand the square -/
 theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
@@ -1635,113 +1077,56 @@ theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y
   rw [← inner_conj_symm, conj_re]
 #align norm_add_sq norm_add_sq
 
-/- warning: norm_add_pow_two -> norm_add_pow_two is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_add_pow_two norm_add_pow_twoₓ'. -/
 alias norm_add_sq ← norm_add_pow_two
 #align norm_add_pow_two norm_add_pow_two
 
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 /-- Expand the square -/
 theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 := by
   have h := @norm_add_sq ℝ _ _ _ _ x y; simpa using h
 #align norm_add_sq_real norm_add_sq_real
 
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-Case conversion may be inaccurate. Consider using '#align norm_add_pow_two_real norm_add_pow_two_realₓ'. -/
 alias norm_add_sq_real ← norm_add_pow_two_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
-/- warning: norm_add_mul_self -> norm_add_mul_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_add_mul_self norm_add_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by repeat' rw [← sq]; exact norm_add_sq _ _
 #align norm_add_mul_self norm_add_mul_self
 
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-Case conversion may be inaccurate. Consider using '#align norm_add_mul_self_real norm_add_mul_self_realₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self_real (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ := by
   have h := @norm_add_mul_self ℝ _ _ _ _ x y; simpa using h
 #align norm_add_mul_self_real norm_add_mul_self_real
 
-/- warning: norm_sub_sq -> norm_sub_sq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_sub_sq norm_sub_sqₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 := by
   rw [sub_eq_add_neg, @norm_add_sq 𝕜 _ _ _ _ x (-y), norm_neg, inner_neg_right, map_neg, mul_neg,
     sub_eq_add_neg]
 #align norm_sub_sq norm_sub_sq
 
-/- warning: norm_sub_pow_two -> norm_sub_pow_two is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_sub_pow_two norm_sub_pow_twoₓ'. -/
 alias norm_sub_sq ← norm_sub_pow_two
 #align norm_sub_pow_two norm_sub_pow_two
 
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-Case conversion may be inaccurate. Consider using '#align norm_sub_sq_real norm_sub_sq_realₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
   @norm_sub_sq ℝ _ _ _ _ _ _
 #align norm_sub_sq_real norm_sub_sq_real
 
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-Case conversion may be inaccurate. Consider using '#align norm_sub_pow_two_real norm_sub_pow_two_realₓ'. -/
 alias norm_sub_sq_real ← norm_sub_pow_two_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
-/- warning: norm_sub_mul_self -> norm_sub_mul_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self norm_sub_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by repeat' rw [← sq]; exact norm_sub_sq _ _
 #align norm_sub_mul_self norm_sub_mul_self
 
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-Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self_real norm_sub_mul_self_realₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self_real (x y : F) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ := by
   have h := @norm_sub_mul_self ℝ _ _ _ _ x y; simpa using h
 #align norm_sub_mul_self_real norm_sub_mul_self_real
 
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-Case conversion may be inaccurate. Consider using '#align norm_inner_le_norm norm_inner_le_normₓ'. -/
 /-- Cauchy–Schwarz inequality with norm -/
 theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   by
@@ -1750,40 +1135,19 @@ theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   exact InnerProductSpace.Core.norm_inner_le_norm x y
 #align norm_inner_le_norm norm_inner_le_norm
 
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-Case conversion may be inaccurate. Consider using '#align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnormₓ'. -/
 theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ * ‖y‖₊ :=
   norm_inner_le_norm x y
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
 
-/- warning: re_inner_le_norm -> re_inner_le_norm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align re_inner_le_norm re_inner_le_normₓ'. -/
 theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
   le_trans (re_le_norm (inner x y)) (norm_inner_le_norm x y)
 #align re_inner_le_norm re_inner_le_norm
 
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 /-- Cauchy–Schwarz inequality with norm -/
 theorem abs_real_inner_le_norm (x y : F) : |⟪x, y⟫_ℝ| ≤ ‖x‖ * ‖y‖ :=
   (Real.norm_eq_abs _).ge.trans (norm_inner_le_norm x y)
 #align abs_real_inner_le_norm abs_real_inner_le_norm
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_le_norm real_inner_le_normₓ'. -/
 /-- Cauchy–Schwarz inequality with norm -/
 theorem real_inner_le_norm (x y : F) : ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
   le_trans (le_abs_self _) (abs_real_inner_le_norm _ _)
@@ -1793,12 +1157,6 @@ include 𝕜
 
 variable (𝕜)
 
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-Case conversion may be inaccurate. Consider using '#align parallelogram_law_with_norm parallelogram_law_with_normₓ'. -/
 theorem parallelogram_law_with_norm (x y : E) :
     ‖x + y‖ * ‖x + y‖ + ‖x - y‖ * ‖x - y‖ = 2 * (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) :=
   by
@@ -1807,12 +1165,6 @@ theorem parallelogram_law_with_norm (x y : E) :
   simp only [re.map_add]
 #align parallelogram_law_with_norm parallelogram_law_with_norm
 
-/- warning: parallelogram_law_with_nnnorm -> parallelogram_law_with_nnnorm is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align parallelogram_law_with_nnnorm parallelogram_law_with_nnnormₓ'. -/
 theorem parallelogram_law_with_nnnorm (x y : E) :
     ‖x + y‖₊ * ‖x + y‖₊ + ‖x - y‖₊ * ‖x - y‖₊ = 2 * (‖x‖₊ * ‖x‖₊ + ‖y‖₊ * ‖y‖₊) :=
   Subtype.ext <| parallelogram_law_with_norm 𝕜 x y
@@ -1822,45 +1174,30 @@ variable {𝕜}
 
 omit 𝕜
 
-/- warning: re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two -> re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 := by rw [@norm_add_mul_self 𝕜];
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
-/- warning: re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two -> re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 := by rw [@norm_sub_mul_self 𝕜];
   ring
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
-/- warning: re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four -> re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 := by
   rw [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜]; ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four
 
-/- warning: im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four -> im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The imaginary part of the inner product, in terms of the norm. -/
 theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four (x y : E) :
     im ⟪x, y⟫ = (‖x - IK • y‖ * ‖x - IK • y‖ - ‖x + IK • y‖ * ‖x + IK • y‖) / 4 := by
   simp only [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜, inner_smul_right, I_mul_re]; ring
 #align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four
 
-/- warning: inner_eq_sum_norm_sq_div_four -> inner_eq_sum_norm_sq_div_four is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_fourₓ'. -/
 /-- Polarization identity: The inner product, in terms of the norm. -/
 theorem inner_eq_sum_norm_sq_div_four (x y : E) :
     ⟪x, y⟫ = (‖x + y‖ ^ 2 - ‖x - y‖ ^ 2 + (‖x - IK • y‖ ^ 2 - ‖x + IK • y‖ ^ 2) * IK) / 4 :=
@@ -1871,9 +1208,6 @@ theorem inner_eq_sum_norm_sq_div_four (x y : E) :
   simp only [sq, ← mul_div_right_comm, ← add_div]
 #align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_four
 
-/- warning: dist_div_norm_sq_smul -> dist_div_norm_sq_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_div_norm_sq_smul dist_div_norm_sq_smulₓ'. -/
 /-- Formula for the distance between the images of two nonzero points under an inversion with center
 zero. See also `euclidean_geometry.dist_inversion_inversion` for inversions around a general
 point. -/
@@ -1919,9 +1253,6 @@ section Complex
 
 variable {V : Type _} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
 
-/- warning: inner_map_polarization -> inner_map_polarization is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_map_polarization inner_map_polarizationₓ'. -/
 /-- A complex polarization identity, with a linear map
 -/
 theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
@@ -1937,9 +1268,6 @@ theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
   ring
 #align inner_map_polarization inner_map_polarization
 
-/- warning: inner_map_polarization' -> inner_map_polarization' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_map_polarization' inner_map_polarization'ₓ'. -/
 theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
     ⟪T x, y⟫_ℂ =
       (⟪T (x + y), x + y⟫_ℂ - ⟪T (x - y), x - y⟫_ℂ -
@@ -1953,9 +1281,6 @@ theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
   ring
 #align inner_map_polarization' inner_map_polarization'
 
-/- warning: inner_map_self_eq_zero -> inner_map_self_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_map_self_eq_zero inner_map_self_eq_zeroₓ'. -/
 /-- A linear map `T` is zero, if and only if the identity `⟪T x, x⟫_ℂ = 0` holds for all `x`.
 -/
 theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_ℂ = 0) ↔ T = 0 :=
@@ -1969,9 +1294,6 @@ theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_
     simp only [LinearMap.zero_apply, inner_zero_left]
 #align inner_map_self_eq_zero inner_map_self_eq_zero
 
-/- warning: ext_inner_map -> ext_inner_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align ext_inner_map ext_inner_mapₓ'. -/
 /--
 Two linear maps `S` and `T` are equal, if and only if the identity `⟪S x, x⟫_ℂ = ⟪T x, x⟫_ℂ` holds
 for all `x`.
@@ -1993,103 +1315,67 @@ variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 variable {E'' : Type _} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
-/- warning: linear_isometry.inner_map_map -> LinearIsometry.inner_map_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_isometry.inner_map_map LinearIsometry.inner_map_mapₓ'. -/
 /-- A linear isometry preserves the inner product. -/
 @[simp]
 theorem LinearIsometry.inner_map_map (f : E →ₗᵢ[𝕜] E') (x y : E) : ⟪f x, f y⟫ = ⟪x, y⟫ := by
   simp [inner_eq_sum_norm_sq_div_four, ← f.norm_map]
 #align linear_isometry.inner_map_map LinearIsometry.inner_map_map
 
-/- warning: linear_isometry_equiv.inner_map_map -> LinearIsometryEquiv.inner_map_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_mapₓ'. -/
 /-- A linear isometric equivalence preserves the inner product. -/
 @[simp]
 theorem LinearIsometryEquiv.inner_map_map (f : E ≃ₗᵢ[𝕜] E') (x y : E) : ⟪f x, f y⟫ = ⟪x, y⟫ :=
   f.toLinearIsometry.inner_map_map x y
 #align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_map
 
-/- warning: linear_map.isometry_of_inner -> LinearMap.isometryOfInner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_inner LinearMap.isometryOfInnerₓ'. -/
 /-- A linear map that preserves the inner product is a linear isometry. -/
 def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E →ₗᵢ[𝕜] E' :=
   ⟨f, fun x => by simp only [@norm_eq_sqrt_inner 𝕜, h]⟩
 #align linear_map.isometry_of_inner LinearMap.isometryOfInner
 
-/- warning: linear_map.coe_isometry_of_inner -> LinearMap.coe_isometryOfInner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInnerₓ'. -/
 @[simp]
 theorem LinearMap.coe_isometryOfInner (f : E →ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
   rfl
 #align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInner
 
-/- warning: linear_map.isometry_of_inner_to_linear_map -> LinearMap.isometryOfInner_toLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMapₓ'. -/
 @[simp]
 theorem LinearMap.isometryOfInner_toLinearMap (f : E →ₗ[𝕜] E') (h) :
     (f.isometryOfInner h).toLinearMap = f :=
   rfl
 #align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMap
 
-/- warning: linear_equiv.isometry_of_inner -> LinearEquiv.isometryOfInner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInnerₓ'. -/
 /-- A linear equivalence that preserves the inner product is a linear isometric equivalence. -/
 def LinearEquiv.isometryOfInner (f : E ≃ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E ≃ₗᵢ[𝕜] E' :=
   ⟨f, ((f : E →ₗ[𝕜] E').isometryOfInner h).norm_map⟩
 #align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInner
 
-/- warning: linear_equiv.coe_isometry_of_inner -> LinearEquiv.coe_isometryOfInner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInnerₓ'. -/
 @[simp]
 theorem LinearEquiv.coe_isometryOfInner (f : E ≃ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
   rfl
 #align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInner
 
-/- warning: linear_equiv.isometry_of_inner_to_linear_equiv -> LinearEquiv.isometryOfInner_toLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
     (f.isometryOfInner h).toLinearEquiv = f :=
   rfl
 #align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquiv
 
-/- warning: linear_isometry.orthonormal_comp_iff -> LinearIsometry.orthonormal_comp_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iffₓ'. -/
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by
   classical simp_rw [orthonormal_iff_ite, LinearIsometry.inner_map_map]
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 
-/- warning: orthonormal.comp_linear_isometry -> Orthonormal.comp_linearIsometry is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometryₓ'. -/
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) := by rwa [f.orthonormal_comp_iff]
 #align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometry
 
-/- warning: orthonormal.comp_linear_isometry_equiv -> Orthonormal.comp_linearIsometryEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquivₓ'. -/
 /-- A linear isometric equivalence preserves the property of being orthonormal. -/
 theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) :=
   hv.comp_linearIsometry f.toLinearIsometry
 #align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquiv
 
-/- warning: orthonormal.map_linear_isometry_equiv -> Orthonormal.mapLinearIsometryEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquivₓ'. -/
 /-- A linear isometric equivalence, applied with `basis.map`, preserves the property of being
 orthonormal. -/
 theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2097,9 +1383,6 @@ theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonorm
   hv.comp_linearIsometryEquiv f
 #align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquiv
 
-/- warning: linear_map.isometry_of_orthonormal -> LinearMap.isometryOfOrthonormal is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormalₓ'. -/
 /-- A linear map that sends an orthonormal basis to orthonormal vectors is a linear isometry. -/
 def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (hf : Orthonormal 𝕜 (f ∘ v)) : E →ₗᵢ[𝕜] E' :=
@@ -2108,18 +1391,12 @@ def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E
       hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormal
 
-/- warning: linear_map.coe_isometry_of_orthonormal -> LinearMap.coe_isometryOfOrthonormal is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormalₓ'. -/
 @[simp]
 theorem LinearMap.coe_isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) : ⇑(f.isometryOfOrthonormal hv hf) = f :=
   rfl
 #align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormal
 
-/- warning: linear_map.isometry_of_orthonormal_to_linear_map -> LinearMap.isometryOfOrthonormal_toLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMapₓ'. -/
 @[simp]
 theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) :
@@ -2127,9 +1404,6 @@ theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v :
   rfl
 #align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMap
 
-/- warning: linear_equiv.isometry_of_orthonormal -> LinearEquiv.isometryOfOrthonormal is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormalₓ'. -/
 /-- A linear equivalence that sends an orthonormal basis to orthonormal vectors is a linear
 isometric equivalence. -/
 def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2140,18 +1414,12 @@ def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜
       Finsupp.apply_total, hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormal
 
-/- warning: linear_equiv.coe_isometry_of_orthonormal -> LinearEquiv.coe_isometryOfOrthonormal is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormalₓ'. -/
 @[simp]
 theorem LinearEquiv.coe_isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) : ⇑(f.isometryOfOrthonormal hv hf) = f :=
   rfl
 #align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormal
 
-/- warning: linear_equiv.isometry_of_orthonormal_to_linear_equiv -> LinearEquiv.isometryOfOrthonormal_toLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_orthonormal_to_linear_equiv LinearEquiv.isometryOfOrthonormal_toLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.isometryOfOrthonormal_toLinearEquiv (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) :
@@ -2173,9 +1441,6 @@ def Orthonormal.equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basi
 #align orthonormal.equiv Orthonormal.equiv
 -/
 
-/- warning: orthonormal.equiv_to_linear_equiv -> Orthonormal.equiv_toLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquivₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
@@ -2183,9 +1448,6 @@ theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal
   rfl
 #align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquiv
 
-/- warning: orthonormal.equiv_apply -> Orthonormal.equiv_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_apply Orthonormal.equiv_applyₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') (i : ι) :
@@ -2193,9 +1455,6 @@ theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Ortho
   Basis.equiv_apply _ _ _ _
 #align orthonormal.equiv_apply Orthonormal.equiv_apply
 
-/- warning: orthonormal.equiv_refl -> Orthonormal.equiv_refl is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_refl Orthonormal.equiv_reflₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
     hv.Equiv hv (Equiv.refl ι) = LinearIsometryEquiv.refl 𝕜 E :=
@@ -2203,9 +1462,6 @@ theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
     simp only [Orthonormal.equiv_apply, Equiv.coe_refl, id.def, LinearIsometryEquiv.coe_refl]
 #align orthonormal.equiv_refl Orthonormal.equiv_refl
 
-/- warning: orthonormal.equiv_symm -> Orthonormal.equiv_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_symm Orthonormal.equiv_symmₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') : (hv.Equiv hv' e).symm = hv'.Equiv hv e.symm :=
@@ -2214,9 +1470,6 @@ theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {
       simp only [LinearIsometryEquiv.apply_symm_apply, Orthonormal.equiv_apply, e.apply_symm_apply]
 #align orthonormal.equiv_symm Orthonormal.equiv_symm
 
-/- warning: orthonormal.equiv_trans -> Orthonormal.equiv_trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_trans Orthonormal.equiv_transₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') {v'' : Basis ι'' 𝕜 E''} (hv'' : Orthonormal 𝕜 v'')
@@ -2225,9 +1478,6 @@ theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     simp only [LinearIsometryEquiv.trans_apply, Orthonormal.equiv_apply, e.coe_trans]
 #align orthonormal.equiv_trans Orthonormal.equiv_trans
 
-/- warning: orthonormal.map_equiv -> Orthonormal.map_equiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.map_equiv Orthonormal.map_equivₓ'. -/
 theorem Orthonormal.map_equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
     v.map (hv.Equiv hv' e).toLinearEquiv = v'.reindex e.symm :=
@@ -2236,12 +1486,6 @@ theorem Orthonormal.map_equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v
 
 end
 
-/- warning: real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two -> real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real inner product, in terms of the norm. -/
 theorem real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : F) :
     ⟪x, y⟫_ℝ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 :=
@@ -2249,12 +1493,6 @@ theorem real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_
     re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two x y
 #align real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
-/- warning: real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two -> real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real inner product, in terms of the norm. -/
 theorem real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : F) :
     ⟪x, y⟫_ℝ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 :=
@@ -2262,12 +1500,6 @@ theorem real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_
     re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two x y
 #align real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
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-Case conversion may be inaccurate. Consider using '#align norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, if-and-only-if vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ = 0 :=
@@ -2276,12 +1508,6 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
   norm_num
 #align norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
 
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-Case conversion may be inaccurate. Consider using '#align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, if-and-if vector inner product form using square roots. -/
 theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     ‖x + y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
@@ -2289,12 +1515,6 @@ theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zero
 
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 /-- Pythagorean theorem, vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x, y⟫ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
@@ -2304,24 +1524,12 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x,
   simp only [h, zero_re']
 #align norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero
 
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-Case conversion may be inaccurate. Consider using '#align norm_add_sq_eq_norm_sq_add_norm_sq_real norm_add_sq_eq_norm_sq_add_norm_sq_realₓ'. -/
 /-- Pythagorean theorem, vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
   (norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero x y).2 h
 #align norm_add_sq_eq_norm_sq_add_norm_sq_real norm_add_sq_eq_norm_sq_add_norm_sq_real
 
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-Case conversion may be inaccurate. Consider using '#align norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, subtracting vectors, if-and-only-if vector
 inner product form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
@@ -2332,12 +1540,6 @@ theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
   norm_num
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
 
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-Case conversion may be inaccurate. Consider using '#align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, subtracting vectors, if-and-if vector inner product form using square
 roots. -/
 theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
@@ -2346,12 +1548,6 @@ theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zero
 
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-Case conversion may be inaccurate. Consider using '#align norm_sub_sq_eq_norm_sq_add_norm_sq_real norm_sub_sq_eq_norm_sq_add_norm_sq_realₓ'. -/
 /-- Pythagorean theorem, subtracting vectors, vector inner product
 form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ = 0) :
@@ -2359,12 +1555,6 @@ theorem norm_sub_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ =
   (norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero x y).2 h
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_real norm_sub_sq_eq_norm_sq_add_norm_sq_real
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_add_sub_eq_zero_iff real_inner_add_sub_eq_zero_iffₓ'. -/
 /-- The sum and difference of two vectors are orthogonal if and only
 if they have the same norm. -/
 theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 ↔ ‖x‖ = ‖y‖ :=
@@ -2380,12 +1570,6 @@ theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 
     linarith
 #align real_inner_add_sub_eq_zero_iff real_inner_add_sub_eq_zero_iff
 
-/- warning: norm_sub_eq_norm_add -> norm_sub_eq_norm_add is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align norm_sub_eq_norm_add norm_sub_eq_norm_addₓ'. -/
 /-- Given two orthogonal vectors, their sum and difference have equal norms. -/
 theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w + v‖ :=
   by
@@ -2395,12 +1579,6 @@ theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w
     zero_add]
 #align norm_sub_eq_norm_add norm_sub_eq_norm_add
 
-/- warning: abs_real_inner_div_norm_mul_norm_le_one -> abs_real_inner_div_norm_mul_norm_le_one is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_oneₓ'. -/
 /-- The real inner product of two vectors, divided by the product of their
 norms, has absolute value at most 1. -/
 theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| ≤ 1 :=
@@ -2409,31 +1587,16 @@ theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (
   exact div_le_one_of_le (abs_real_inner_le_norm x y) (by positivity)
 #align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_one
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_smul_self_left real_inner_smul_self_leftₓ'. -/
 /-- The inner product of a vector with a multiple of itself. -/
 theorem real_inner_smul_self_left (x : F) (r : ℝ) : ⟪r • x, x⟫_ℝ = r * (‖x‖ * ‖x‖) := by
   rw [real_inner_smul_left, ← real_inner_self_eq_norm_mul_norm]
 #align real_inner_smul_self_left real_inner_smul_self_left
 
-/- warning: real_inner_smul_self_right -> real_inner_smul_self_right is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align real_inner_smul_self_right real_inner_smul_self_rightₓ'. -/
 /-- The inner product of a vector with a multiple of itself. -/
 theorem real_inner_smul_self_right (x : F) (r : ℝ) : ⟪x, r • x⟫_ℝ = r * (‖x‖ * ‖x‖) := by
   rw [inner_smul_right, ← real_inner_self_eq_norm_mul_norm]
 #align real_inner_smul_self_right real_inner_smul_self_right
 
-/- warning: norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul -> norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulₓ'. -/
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
@@ -2447,9 +1610,6 @@ theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r
     div_self hx']
 #align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
-/- warning: abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul -> abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulₓ'. -/
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
@@ -2458,12 +1618,6 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : F
   norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
-/- warning: real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul -> real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul is a dubious translation:
-lean 3 declaration is
-  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) -> (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} 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_inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} 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-Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mulₓ'. -/
 /-- The inner product of a nonzero vector with a positive multiple of
 itself, divided by the product of their norms, has value 1. -/
 theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : ℝ} (hx : x ≠ 0)
@@ -2474,12 +1628,6 @@ theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : 
   exact mul_ne_zero hr.ne' (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul
 
-/- warning: real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul -> real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul is a dubious translation:
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-  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) -> (LT.lt.{0} Real Real.hasLt r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F 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Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))))
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-Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mulₓ'. -/
 /-- The inner product of a nonzero vector with a negative multiple of
 itself, divided by the product of their norms, has value -1. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r : ℝ} (hx : x ≠ 0)
@@ -2490,9 +1638,6 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r
   exact mul_ne_zero hr.ne (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul
 
-/- warning: norm_inner_eq_norm_tfae -> norm_inner_eq_norm_tfae is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfaeₓ'. -/
 theorem norm_inner_eq_norm_tfae (x y : E) :
     TFAE
       [‖⟪x, y⟫‖ = ‖x‖ * ‖y‖, x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫) • x, x = 0 ∨ ∃ r : 𝕜, y = r • x,
@@ -2519,9 +1664,6 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
   tfae_finish
 #align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfae
 
-/- warning: norm_inner_eq_norm_iff -> norm_inner_eq_norm_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_inner_eq_norm_iff norm_inner_eq_norm_iffₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms, then the two vectors
 are multiples of each other. One form of the equality case for Cauchy-Schwarz.
 Compare `inner_eq_norm_mul_iff`, which takes the stronger hypothesis `⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
@@ -2537,9 +1679,6 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
     
 #align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
 
-/- warning: norm_inner_div_norm_mul_norm_eq_one_iff -> norm_inner_div_norm_mul_norm_eq_one_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
@@ -2557,12 +1696,6 @@ theorem norm_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     exact norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iff
 
-/- warning: abs_real_inner_div_norm_mul_norm_eq_one_iff -> abs_real_inner_div_norm_mul_norm_eq_one_iff is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
@@ -2571,12 +1704,6 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
   @norm_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ _ x y
 #align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iff
 
-/- warning: inner_eq_norm_mul_iff_div -> inner_eq_norm_mul_iff_div is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_divₓ'. -/
 theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y :=
   by
@@ -2591,9 +1718,6 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     field_simp [sq, mul_left_comm]
 #align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
 
-/- warning: inner_eq_norm_mul_iff -> inner_eq_norm_mul_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff inner_eq_norm_mul_iffₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
 of the equality case for Cauchy-Schwarz.
@@ -2607,12 +1731,6 @@ theorem inner_eq_norm_mul_iff {x y : E} :
     rwa [Ne.def, of_real_eq_zero, norm_eq_zero]
 #align inner_eq_norm_mul_iff inner_eq_norm_mul_iff
 
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_inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) y))
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-Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_realₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
 of the equality case for Cauchy-Schwarz.
@@ -2621,12 +1739,6 @@ theorem inner_eq_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ = ‖x‖ * ‖y
   inner_eq_norm_mul_iff
 #align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_real
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_one_iff real_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has value 1 if and only if they are nonzero and one is
 a positive multiple of the other. -/
@@ -2643,12 +1755,6 @@ theorem real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
     exact real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul hx hr
 #align real_inner_div_norm_mul_norm_eq_one_iff real_inner_div_norm_mul_norm_eq_one_iff
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has value -1 if and only if they are nonzero and one is
 a negative multiple of the other. -/
@@ -2661,24 +1767,12 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_iff (x y : F) :
   rw [neg_pos, neg_smul, neg_inj]
 #align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iff
 
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-Case conversion may be inaccurate. Consider using '#align inner_eq_one_iff_of_norm_one inner_eq_one_iff_of_norm_oneₓ'. -/
 /-- If the inner product of two unit vectors is `1`, then the two vectors are equal. One form of
 the equality case for Cauchy-Schwarz. -/
 theorem inner_eq_one_iff_of_norm_one {x y : E} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) : ⟪x, y⟫ = 1 ↔ x = y :=
   by convert inner_eq_norm_mul_iff using 2 <;> simp [hx, hy]
 #align inner_eq_one_iff_of_norm_one inner_eq_one_iff_of_norm_one
 
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-Case conversion may be inaccurate. Consider using '#align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_realₓ'. -/
 theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ‖y‖ • x ≠ ‖x‖ • y :=
   calc
     ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ ≠ ‖x‖ * ‖y‖ :=
@@ -2687,21 +1781,12 @@ theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y
     
 #align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_real
 
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-Case conversion may be inaccurate. Consider using '#align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_oneₓ'. -/
 /-- If the inner product of two unit vectors is strictly less than `1`, then the two vectors are
 distinct. One form of the equality case for Cauchy-Schwarz. -/
 theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) :
     ⟪x, y⟫_ℝ < 1 ↔ x ≠ y := by convert inner_lt_norm_mul_iff_real <;> simp [hx, hy]
 #align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_one
 
-/- warning: inner_sum_smul_sum_smul_of_sum_eq_zero -> inner_sum_smul_sum_smul_of_sum_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zeroₓ'. -/
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
 theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
@@ -2728,17 +1813,11 @@ def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
 #align innerₛₗ innerₛₗ
 -/
 
-/- warning: innerₛₗ_apply_coe -> innerₛₗ_apply_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align innerₛₗ_apply_coe innerₛₗ_apply_coeₓ'. -/
 @[simp]
 theorem innerₛₗ_apply_coe (v : E) : ⇑(innerₛₗ 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply_coe innerₛₗ_apply_coe
 
-/- warning: innerₛₗ_apply -> innerₛₗ_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align innerₛₗ_apply innerₛₗ_applyₓ'. -/
 @[simp]
 theorem innerₛₗ_apply (v w : E) : innerₛₗ 𝕜 v w = ⟪v, w⟫ :=
   rfl
@@ -2754,25 +1833,16 @@ def innerSL : E →L⋆[𝕜] E →L[𝕜] 𝕜 :=
 #align innerSL innerSL
 -/
 
-/- warning: innerSL_apply_coe -> innerSL_apply_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align innerSL_apply_coe innerSL_apply_coeₓ'. -/
 @[simp]
 theorem innerSL_apply_coe (v : E) : ⇑(innerSL 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerSL_apply_coe innerSL_apply_coe
 
-/- warning: innerSL_apply -> innerSL_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align innerSL_apply innerSL_applyₓ'. -/
 @[simp]
 theorem innerSL_apply (v w : E) : innerSL 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerSL_apply innerSL_apply
 
-/- warning: innerSL_apply_norm -> innerSL_apply_norm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align innerSL_apply_norm innerSL_apply_normₓ'. -/
 /-- `innerSL` is an isometry. Note that the associated `linear_isometry` is defined in
 `inner_product_space.dual` as `to_dual_map`.  -/
 @[simp]
@@ -2798,9 +1868,6 @@ def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
 #align innerSL_flip innerSLFlip
 -/
 
-/- warning: innerSL_flip_apply -> innerSLFlip_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align innerSL_flip_apply innerSLFlip_applyₓ'. -/
 @[simp]
 theorem innerSLFlip_apply (x y : E) : innerSLFlip 𝕜 x y = ⟪y, x⟫ :=
   rfl
@@ -2821,17 +1888,11 @@ def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜
 #align continuous_linear_map.to_sesq_form ContinuousLinearMap.toSesqForm
 -/
 
-/- warning: continuous_linear_map.to_sesq_form_apply_coe -> ContinuousLinearMap.toSesqForm_apply_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coeₓ'. -/
 @[simp]
 theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (innerSL 𝕜 x).comp f :=
   rfl
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
 
-/- warning: continuous_linear_map.to_sesq_form_apply_norm_le -> ContinuousLinearMap.toSesqForm_apply_norm_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_leₓ'. -/
 theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm f v‖ ≤ ‖f‖ * ‖v‖ :=
   by
   refine' op_norm_le_bound _ (mul_nonneg (norm_nonneg _) (norm_nonneg _)) _
@@ -2874,12 +1935,6 @@ section BesselsInequality
 
 variable {ι : Type _} (x : E) {v : ι → E}
 
-/- warning: orthonormal.sum_inner_products_le -> Orthonormal.sum_inner_products_le is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_leₓ'. -/
 /-- Bessel's inequality for finite sums. -/
 theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜 v) :
     (∑ i in s, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 :=
@@ -2902,12 +1957,6 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
     inner_smul_left, add_sub_cancel']
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
 
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-Case conversion may be inaccurate. Consider using '#align orthonormal.tsum_inner_products_le Orthonormal.tsum_inner_products_leₓ'. -/
 /-- Bessel's inequality. -/
 theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
     (∑' i, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 :=
@@ -2916,12 +1965,6 @@ theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
   simp only [norm_nonneg, pow_nonneg]
 #align orthonormal.tsum_inner_products_le Orthonormal.tsum_inner_products_le
 
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 /-- The sum defined in Bessel's inequality is summable. -/
 theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
     Summable fun i => ‖⟪v i, x⟫‖ ^ 2 :=
@@ -2950,12 +1993,6 @@ instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
 #align is_R_or_C.inner_product_space IsROrC.innerProductSpace
 -/
 
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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) x) y)
-Case conversion may be inaccurate. Consider using '#align is_R_or_C.inner_apply IsROrC.inner_applyₓ'. -/
 @[simp]
 theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
   rfl
@@ -2976,26 +2013,17 @@ instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace
 #align submodule.inner_product_space Submodule.innerProductSpace
 -/
 
-/- warning: submodule.coe_inner -> Submodule.coe_inner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align submodule.coe_inner Submodule.coe_innerₓ'. -/
 /-- The inner product on submodules is the same as on the ambient space. -/
 @[simp]
 theorem Submodule.coe_inner (W : Submodule 𝕜 E) (x y : W) : ⟪x, y⟫ = ⟪(x : E), ↑y⟫ :=
   rfl
 #align submodule.coe_inner Submodule.coe_inner
 
-/- warning: orthonormal.cod_restrict -> Orthonormal.codRestrict is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.cod_restrict Orthonormal.codRestrictₓ'. -/
 theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
     (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ _ ι (Set.codRestrict v s hvs) :=
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
-/- warning: orthonormal_span -> orthonormal_span is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal_span orthonormal_spanₓ'. -/
 theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
@@ -3034,9 +2062,6 @@ def OrthogonalFamily (G : ι → Type _) [∀ i, NormedAddCommGroup (G i)]
 variable {𝕜} {G : ι → Type _} [∀ i, NormedAddCommGroup (G i)] [∀ i, InnerProductSpace 𝕜 (G i)]
   {V : ∀ i, G i →ₗᵢ[𝕜] E} (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
-/- warning: orthonormal.orthogonal_family -> Orthonormal.orthogonalFamily is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthonormal.orthogonal_family Orthonormal.orthogonalFamilyₓ'. -/
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
     OrthogonalFamily 𝕜 (fun i : ι => 𝕜) fun i => LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
   fun i j hij a b => by simp [inner_smul_left, inner_smul_right, hv.2 hij]
@@ -3044,9 +2069,6 @@ theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
 
 include hV dec_ι
 
-/- warning: orthogonal_family.eq_ite -> OrthogonalFamily.eq_ite is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.eq_ite OrthogonalFamily.eq_iteₓ'. -/
 theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
     ⟪V i v, V j w⟫ = ite (i = j) ⟪V i v, V j w⟫ 0 :=
   by
@@ -3057,9 +2079,6 @@ theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
 
 include dec_V
 
-/- warning: orthogonal_family.inner_right_dfinsupp -> OrthogonalFamily.inner_right_dfinsupp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_right_dfinsupp OrthogonalFamily.inner_right_dfinsuppₓ'. -/
 theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i) :
     ⟪V i v, l.Sum fun j => V j⟫ = ⟪v, l i⟫ :=
   calc
@@ -3079,9 +2098,6 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
 
 omit dec_ι dec_V
 
-/- warning: orthogonal_family.inner_right_fintype -> OrthogonalFamily.inner_right_fintype is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintypeₓ'. -/
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
   classical calc
@@ -3093,9 +2109,6 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
       
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 
-/- warning: orthogonal_family.inner_sum -> OrthogonalFamily.inner_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_sum OrthogonalFamily.inner_sumₓ'. -/
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
   classical calc
@@ -3112,9 +2125,6 @@ theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
       
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 
-/- warning: orthogonal_family.norm_sum -> OrthogonalFamily.norm_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.norm_sum OrthogonalFamily.norm_sumₓ'. -/
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
     ‖∑ i in s, V i (l i)‖ ^ 2 = ∑ i in s, ‖l i‖ ^ 2 :=
   by
@@ -3123,21 +2133,12 @@ theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
   exact_mod_cast this
 #align orthogonal_family.norm_sum OrthogonalFamily.norm_sum
 
-/- warning: orthogonal_family.comp -> OrthogonalFamily.comp is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u1, u2, u3, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall {γ : Type.{u5}} {f : γ -> ι}, (Function.Injective.{succ u5, succ u3} γ ι f) -> (OrthogonalFamily.{u1, u2, u5, u4} 𝕜 E _inst_1 _inst_2 _inst_3 γ (fun (g : γ) => G (f g)) (fun (i : γ) => _inst_6 (f i)) (fun (i : γ) => _inst_7 (f i)) (fun (g : γ) => V (f g))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} {G : ι -> Type.{u1}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u1} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u3, u1} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (G i) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u3, u2, u4, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall {γ : Type.{u5}} {f : γ -> ι}, (Function.Injective.{succ u5, succ u4} γ ι f) -> (OrthogonalFamily.{u3, u2, u5, u1} 𝕜 E _inst_1 _inst_2 _inst_3 γ (fun (g : γ) => G (f g)) (fun (i : γ) => _inst_6 (f i)) (fun (i : γ) => _inst_7 (f i)) (fun (g : γ) => V (f g))))
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.comp OrthogonalFamily.compₓ'. -/
 /-- The composition of an orthogonal family of subspaces with an injective function is also an
 orthogonal family. -/
 theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injective f) :
     OrthogonalFamily 𝕜 (fun g => G (f g)) fun g => V (f g) := fun i j hij v w => hV (hf.Ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
 
-/- warning: orthogonal_family.orthonormal_sigma_orthonormal -> OrthogonalFamily.orthonormal_sigma_orthonormal is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormalₓ'. -/
 theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 fun a : Σi, α i => V a.1 (v_family a.1 a.2) :=
@@ -3155,9 +2156,6 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_f
 
 include dec_ι
 
-/- warning: orthogonal_family.norm_sq_diff_sum -> OrthogonalFamily.norm_sq_diff_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.norm_sq_diff_sum OrthogonalFamily.norm_sq_diff_sumₓ'. -/
 theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
     ‖(∑ i in s₁, V i (f i)) - ∑ i in s₂, V i (f i)‖ ^ 2 =
       (∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 :=
@@ -3187,9 +2185,6 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 
 omit dec_ι
 
-/- warning: orthogonal_family.summable_iff_norm_sq_summable -> OrthogonalFamily.summable_iff_norm_sq_summable is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summableₓ'. -/
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
 `(λ i, ‖f i‖ ^ 2)` is summable. -/
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
@@ -3239,9 +2234,6 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
 
 omit hV
 
-/- warning: orthogonal_family.independent -> OrthogonalFamily.independent is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align orthogonal_family.independent OrthogonalFamily.independentₓ'. -/
 /-- An orthogonal family forms an independent family of subspaces; that is, any collection of
 elements each from a different subspace in the family is linearly independent. In particular, the
 pairwise intersections of elements of the family are 0. -/
@@ -3266,9 +2258,6 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 
 include dec_ι
 
-/- warning: direct_sum.is_internal.collected_basis_orthonormal -> DirectSum.IsInternal.collectedBasis_orthonormal is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormalₓ'. -/
 theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
@@ -3316,20 +2305,11 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
 
 variable {E}
 
-/- warning: real_inner_eq_re_inner -> real_inner_eq_re_inner is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align real_inner_eq_re_inner real_inner_eq_re_innerₓ'. -/
 theorem real_inner_eq_re_inner (x y : E) :
     @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
   rfl
 #align real_inner_eq_re_inner real_inner_eq_re_inner
 
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-Case conversion may be inaccurate. Consider using '#align real_inner_I_smul_self real_inner_I_smul_selfₓ'. -/
 theorem real_inner_I_smul_self (x : E) :
     @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x ((i : 𝕜) • x) = 0 := by
   simp [real_inner_eq_re_inner, inner_smul_right]
@@ -3337,32 +2317,17 @@ theorem real_inner_I_smul_self (x : E) :
 
 omit 𝕜
 
-/- warning: inner_product_space.complex_to_real -> InnerProductSpace.complexToReal is a dubious translation:
-lean 3 declaration is
-  forall {G : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} G] [_inst_7 : InnerProductSpace.{0, u1} Complex G Complex.isROrC _inst_6], InnerProductSpace.{0, u1} Real G Real.isROrC _inst_6
-but is expected to have type
-  forall {G : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} G] [_inst_7 : InnerProductSpace.{0, u1} Complex G Complex.instIsROrCComplex _inst_6], InnerProductSpace.{0, u1} Real G Real.isROrC _inst_6
-Case conversion may be inaccurate. Consider using '#align inner_product_space.complex_to_real InnerProductSpace.complexToRealₓ'. -/
 /-- A complex inner product implies a real inner product -/
 instance InnerProductSpace.complexToReal [NormedAddCommGroup G] [InnerProductSpace ℂ G] :
     InnerProductSpace ℝ G :=
   InnerProductSpace.isROrCToReal ℂ G
 #align inner_product_space.complex_to_real InnerProductSpace.complexToReal
 
-/- warning: complex.inner -> Complex.inner is a dubious translation:
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-  forall (w : Complex) (z : Complex), Eq.{1} Real (Inner.inner.{0, 0} Real Complex (InnerProductSpace.toHasInner.{0, 0} Real Complex Real.isROrC (NonUnitalNormedRing.toNormedAddCommGroup.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (InnerProductSpace.complexToReal.{0} Complex (NonUnitalNormedRing.toNormedAddCommGroup.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (IsROrC.innerProductSpace.{0} Complex Complex.isROrC))) w z) (Complex.re (HMul.hMul.{0, 0, 0} Complex Complex Complex (instHMul.{0} Complex Complex.hasMul) (coeFn.{1, 1} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (fun (_x : RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) => Complex -> Complex) (RingHom.hasCoeToFun.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (starRingEnd.{0} Complex Complex.commSemiring Complex.starRing) w) z))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align complex.inner Complex.innerₓ'. -/
 @[simp]
 protected theorem Complex.inner (w z : ℂ) : ⟪w, z⟫_ℝ = (conj w * z).re :=
   rfl
 #align complex.inner Complex.inner
 
-/- warning: inner_map_complex -> inner_map_complex is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_map_complex inner_map_complexₓ'. -/
 /-- The inner product on an inner product space of dimension 2 can be evaluated in terms
 of a complex-number representation of the space. -/
 theorem inner_map_complex [NormedAddCommGroup G] [InnerProductSpace ℝ G] (f : G ≃ₗᵢ[ℝ] ℂ)
@@ -3378,12 +2343,6 @@ section Continuous
 -/
 
 
-/- warning: continuous_inner -> continuous_inner is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} E E) 𝕜 (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (p : Prod.{u2, u2} E E) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p))
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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} E E) 𝕜 (instTopologicalSpaceProd.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (p : Prod.{u2, u2} E E) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p))
-Case conversion may be inaccurate. Consider using '#align continuous_inner continuous_innerₓ'. -/
 theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
   letI : InnerProductSpace ℝ E := InnerProductSpace.isROrCToReal 𝕜 E
   is_bounded_bilinear_map_inner.continuous
@@ -3440,31 +2399,16 @@ def ContinuousLinearMap.reApplyInnerSelf (T : E →L[𝕜] E) (x : E) : ℝ :=
 #align continuous_linear_map.re_apply_inner_self ContinuousLinearMap.reApplyInnerSelf
 -/
 
-/- warning: continuous_linear_map.re_apply_inner_self_apply -> ContinuousLinearMap.reApplyInnerSelf_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_apply ContinuousLinearMap.reApplyInnerSelf_applyₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_apply (T : E →L[𝕜] E) (x : E) :
     T.reApplyInnerSelf x = re ⟪T x, x⟫ :=
   rfl
 #align continuous_linear_map.re_apply_inner_self_apply ContinuousLinearMap.reApplyInnerSelf_apply
 
-/- warning: continuous_linear_map.re_apply_inner_self_continuous -> ContinuousLinearMap.reApplyInnerSelf_continuous is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuousₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_continuous (T : E →L[𝕜] E) :
     Continuous T.reApplyInnerSelf :=
   reClm.Continuous.comp <| T.Continuous.inner continuous_id
 #align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuous
 
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-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_smul ContinuousLinearMap.reApplyInnerSelf_smulₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_smul (T : E →L[𝕜] E) (x : E) {c : 𝕜} :
     T.reApplyInnerSelf (c • x) = ‖c‖ ^ 2 * T.reApplyInnerSelf x := by
   simp only [ContinuousLinearMap.map_smul, ContinuousLinearMap.reApplyInnerSelf_apply,
@@ -3482,24 +2426,12 @@ instance {𝕜' E' : Type _} [TopologicalSpace 𝕜'] [UniformSpace E'] [Inner 
     Inner 𝕜' (Completion E')
     where inner := curry <| (denseInducing_coe.Prod denseInducing_coe).extend (uncurry inner)
 
-/- warning: uniform_space.completion.inner_coe -> UniformSpace.Completion.inner_coe is a dubious translation:
-lean 3 declaration is
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (a : E) (b : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.Completion.toInner.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (UniformSpace.Completion.coe'.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) a) (UniformSpace.Completion.coe'.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) b)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) a b)
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.inner_coe UniformSpace.Completion.inner_coeₓ'. -/
 @[simp]
 theorem inner_coe (a b : E) : inner (a : Completion E) (b : Completion E) = (inner a b : 𝕜) :=
   (denseInducing_coe.Prod denseInducing_coe).extend_eq
     (continuous_inner : Continuous (uncurry inner : E × E → 𝕜)) (a, b)
 #align uniform_space.completion.inner_coe UniformSpace.Completion.inner_coe
 
-/- warning: uniform_space.completion.continuous_inner -> UniformSpace.Completion.continuous_inner is a dubious translation:
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-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 𝕜 (instTopologicalSpaceProd.{u2, u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Function.uncurry.{u2, u2, u1} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) 𝕜 (Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.toInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_inner UniformSpace.Completion.continuous_innerₓ'. -/
 protected theorem continuous_inner : Continuous (uncurry inner : Completion E × Completion E → 𝕜) :=
   by
   let inner' : E →+ E →+ 𝕜 :=
@@ -3515,12 +2447,6 @@ protected theorem continuous_inner : Continuous (uncurry inner : Completion E ×
   exact (dense_inducing_to_compl E).extend_Z_bilin (dense_inducing_to_compl E) this
 #align uniform_space.completion.continuous_inner UniformSpace.Completion.continuous_inner
 
-/- warning: uniform_space.completion.continuous.inner -> UniformSpace.Completion.Continuous.inner is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {α : Type.{u3}} [_inst_6 : TopologicalSpace.{u3} α] {f : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))} {g : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))}, (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.normedAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) f) -> (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.normedAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) g) -> (Continuous.{u3, u1} α 𝕜 _inst_6 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (x : α) => Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.hasInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (f x) (g x)))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {α : Type.{u3}} [_inst_6 : TopologicalSpace.{u3} α] {f : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))} {g : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))}, (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) f) -> (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) g) -> (Continuous.{u3, u1} α 𝕜 _inst_6 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (x : α) => Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.toInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (f x) (g x)))
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous.inner UniformSpace.Completion.Continuous.innerₓ'. -/
 protected theorem Continuous.inner {α : Type _} [TopologicalSpace α] {f g : α → Completion E}
     (hf : Continuous f) (hg : Continuous g) : Continuous (fun x : α => inner (f x) (g x) : α → 𝕜) :=
   UniformSpace.Completion.continuous_inner.comp (hf.prod_mk hg : _)

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -166,11 +166,8 @@ attribute [class] InnerProductSpace.Core
 norm. -/
 def InnerProductSpace.toCore [NormedAddCommGroup E] [c : InnerProductSpace 𝕜 E] :
     InnerProductSpace.Core 𝕜 E :=
-  {
-    c with
-    nonneg_re := fun x => by
-      rw [← InnerProductSpace.norm_sq_eq_inner]
-      apply sq_nonneg
+  { c with
+    nonneg_re := fun x => by rw [← InnerProductSpace.norm_sq_eq_inner]; apply sq_nonneg
     definite := fun x hx =>
       norm_eq_zero.1 <| pow_eq_zero <| by rw [InnerProductSpace.norm_sq_eq_inner x, hx, map_zero] }
 #align inner_product_space.to_core InnerProductSpace.toCore
@@ -329,9 +326,7 @@ but is expected to have type
   forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Eq.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zeroₓ'. -/
 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
-  ⟨c.definite _, by
-    rintro rfl
-    exact inner_zero_left _⟩
+  ⟨c.definite _, by rintro rfl; exact inner_zero_left _⟩
 #align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zero
 
 /- warning: inner_product_space.core.norm_sq_eq_zero -> InnerProductSpace.Core.normSq_eq_zero is a dubious translation:
@@ -378,9 +373,7 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) x) y) (Neg.neg.{u2} 𝕜 (Ring.toNeg.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_leftₓ'. -/
-theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ :=
-  by
-  rw [← neg_one_smul 𝕜 x, inner_smul_left]
+theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ := by rw [← neg_one_smul 𝕜 x, inner_smul_left];
   simp
 #align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_left
 
@@ -417,10 +410,8 @@ theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ :
 /- warning: inner_product_space.core.inner_mul_symm_re_eq_norm -> InnerProductSpace.Core.inner_mul_symm_re_eq_norm is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_normₓ'. -/
-theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
-  by
-  rw [← inner_conj_symm, mul_comm]
-  exact re_eq_norm_of_mul_conj (inner y x)
+theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ := by
+  rw [← inner_conj_symm, mul_comm]; exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_norm
 
 /- warning: inner_product_space.core.inner_add_add_self -> InnerProductSpace.Core.inner_add_add_self is a dubious translation:
@@ -636,9 +627,7 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, Iff (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))
 Case conversion may be inaccurate. Consider using '#align inner_eq_zero_symm inner_eq_zero_symmₓ'. -/
-theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
-  by
-  rw [← inner_conj_symm]
+theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 := by rw [← inner_conj_symm];
   exact star_eq_zero
 #align inner_eq_zero_symm inner_eq_zero_symm
 
@@ -665,10 +654,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (z : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) y z)) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x z))
 Case conversion may be inaccurate. Consider using '#align inner_add_right inner_add_rightₓ'. -/
-theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ :=
-  by
-  rw [← inner_conj_symm, inner_add_left, RingHom.map_add]
-  simp only [inner_conj_symm]
+theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
+  rw [← inner_conj_symm, inner_add_left, RingHom.map_add]; simp only [inner_conj_symm]
 #align inner_add_right inner_add_right
 
 /- warning: inner_re_symm -> inner_re_symm is a dubious translation:
@@ -706,10 +693,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : Real), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 r) x) y) (HSMul.hSMul.{0, u2, u2} Real 𝕜 𝕜 (instHSMul.{0, u2} Real 𝕜 (Algebra.toSMul.{0, u2} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u2} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u2} 𝕜 _inst_1)))) r (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
 Case conversion may be inaccurate. Consider using '#align inner_smul_real_left inner_smul_real_leftₓ'. -/
-theorem inner_smul_real_left (x y : E) (r : ℝ) : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ :=
-  by
-  rw [inner_smul_left, conj_of_real, Algebra.smul_def]
-  rfl
+theorem inner_smul_real_left (x y : E) (r : ℝ) : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ := by
+  rw [inner_smul_left, conj_of_real, Algebra.smul_def]; rfl
 #align inner_smul_real_left inner_smul_real_left
 
 /- warning: inner_smul_right -> inner_smul_right is a dubious translation:
@@ -738,10 +723,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : Real), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 r) y)) (HSMul.hSMul.{0, u2, u2} Real 𝕜 𝕜 (instHSMul.{0, u2} Real 𝕜 (Algebra.toSMul.{0, u2} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u2} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u2} 𝕜 _inst_1)))) r (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
 Case conversion may be inaccurate. Consider using '#align inner_smul_real_right inner_smul_real_rightₓ'. -/
-theorem inner_smul_real_right (x y : E) (r : ℝ) : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ :=
-  by
-  rw [inner_smul_right, Algebra.smul_def]
-  rfl
+theorem inner_smul_real_right (x y : E) (r : ℝ) : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ := by
+  rw [inner_smul_right, Algebra.smul_def]; rfl
 #align inner_smul_real_right inner_smul_real_right
 
 #print sesqFormOfInner /-
@@ -926,9 +909,7 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} 𝕜 (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
 Case conversion may be inaccurate. Consider using '#align inner_self_norm_to_K inner_self_ofReal_normₓ'. -/
-theorem inner_self_ofReal_norm (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ :=
-  by
-  rw [← inner_self_re_eq_norm]
+theorem inner_self_ofReal_norm (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ := by rw [← inner_self_re_eq_norm];
   exact inner_self_ofReal_re _
 #align inner_self_norm_to_K inner_self_ofReal_norm
 
@@ -997,9 +978,7 @@ but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Neg.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) x) y) (Neg.neg.{u2} 𝕜 (Ring.toNeg.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
 Case conversion may be inaccurate. Consider using '#align inner_neg_left inner_neg_leftₓ'. -/
 @[simp]
-theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ :=
-  by
-  rw [← neg_one_smul 𝕜 x, inner_smul_left]
+theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ := by rw [← neg_one_smul 𝕜 x, inner_smul_left];
   simp
 #align inner_neg_left inner_neg_left
 
@@ -1057,10 +1036,8 @@ theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ :
 /- warning: inner_mul_symm_re_eq_norm -> inner_mul_symm_re_eq_norm is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_normₓ'. -/
-theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
-  by
-  rw [← inner_conj_symm, mul_comm]
-  exact re_eq_norm_of_mul_conj (inner y x)
+theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ := by
+  rw [← inner_conj_symm, mul_comm]; exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_norm
 
 /- warning: inner_add_add_self -> inner_add_add_self is a dubious translation:
@@ -1170,9 +1147,7 @@ Case conversion may be inaccurate. Consider using '#align real_inner_mul_inner_s
 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   calc
-    ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ‖⟪x, y⟫_ℝ‖ * ‖⟪y, x⟫_ℝ‖ :=
-      by
-      rw [real_inner_comm y, ← norm_mul]
+    ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ‖⟪x, y⟫_ℝ‖ * ‖⟪y, x⟫_ℝ‖ := by rw [real_inner_comm y, ← norm_mul];
       exact le_abs_self _
     _ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ := @inner_mul_inner_self_le ℝ _ _ _ _ x y
     
@@ -1632,10 +1607,8 @@ lean 3 declaration is
 but is expected to have type
   forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x))
 Case conversion may be inaccurate. Consider using '#align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_normₓ'. -/
-theorem real_inner_self_eq_norm_mul_norm (x : F) : ⟪x, x⟫_ℝ = ‖x‖ * ‖x‖ :=
-  by
-  have h := @inner_self_eq_norm_mul_norm ℝ F _ _ _ x
-  simpa using h
+theorem real_inner_self_eq_norm_mul_norm (x : F) : ⟪x, x⟫_ℝ = ‖x‖ * ‖x‖ := by
+  have h := @inner_self_eq_norm_mul_norm ℝ F _ _ _ x; simpa using h
 #align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_norm
 
 /- warning: real_inner_self_eq_norm_sq -> real_inner_self_eq_norm_sq is a dubious translation:
@@ -1675,10 +1648,8 @@ but is expected to have type
   forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))
 Case conversion may be inaccurate. Consider using '#align norm_add_sq_real norm_add_sq_realₓ'. -/
 /-- Expand the square -/
-theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
-  by
-  have h := @norm_add_sq ℝ _ _ _ _ x y
-  simpa using h
+theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 := by
+  have h := @norm_add_sq ℝ _ _ _ _ x y; simpa using h
 #align norm_add_sq_real norm_add_sq_real
 
 /- warning: norm_add_pow_two_real -> norm_add_pow_two_real is a dubious translation:
@@ -1695,9 +1666,7 @@ alias norm_add_sq_real ← norm_add_pow_two_real
 Case conversion may be inaccurate. Consider using '#align norm_add_mul_self norm_add_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
-  by
-  repeat' rw [← sq]
-  exact norm_add_sq _ _
+  by repeat' rw [← sq]; exact norm_add_sq _ _
 #align norm_add_mul_self norm_add_mul_self
 
 /- warning: norm_add_mul_self_real -> norm_add_mul_self_real is a dubious translation:
@@ -1708,10 +1677,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align norm_add_mul_self_real norm_add_mul_self_realₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self_real (x y : F) :
-    ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
-  by
-  have h := @norm_add_mul_self ℝ _ _ _ _ x y
-  simpa using h
+    ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ := by
+  have h := @norm_add_mul_self ℝ _ _ _ _ x y; simpa using h
 #align norm_add_mul_self_real norm_add_mul_self_real
 
 /- warning: norm_sub_sq -> norm_sub_sq is a dubious translation:
@@ -1754,9 +1721,7 @@ alias norm_sub_sq_real ← norm_sub_pow_two_real
 Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self norm_sub_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
-  by
-  repeat' rw [← sq]
-  exact norm_sub_sq _ _
+  by repeat' rw [← sq]; exact norm_sub_sq _ _
 #align norm_sub_mul_self norm_sub_mul_self
 
 /- warning: norm_sub_mul_self_real -> norm_sub_mul_self_real is a dubious translation:
@@ -1767,10 +1732,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self_real norm_sub_mul_self_realₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self_real (x y : F) :
-    ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
-  by
-  have h := @norm_sub_mul_self ℝ _ _ _ _ x y
-  simpa using h
+    ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ := by
+  have h := @norm_sub_mul_self ℝ _ _ _ _ x y; simpa using h
 #align norm_sub_mul_self_real norm_sub_mul_self_real
 
 /- warning: norm_inner_le_norm -> norm_inner_le_norm is a dubious translation:
@@ -1864,9 +1827,7 @@ omit 𝕜
 Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
-    re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 :=
-  by
-  rw [@norm_add_mul_self 𝕜]
+    re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 := by rw [@norm_add_mul_self 𝕜];
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
@@ -1875,9 +1836,7 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_tw
 Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
-    re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 :=
-  by
-  rw [@norm_sub_mul_self 𝕜]
+    re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 := by rw [@norm_sub_mul_self 𝕜];
   ring
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
@@ -1886,10 +1845,8 @@ theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_tw
 Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
-    re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 :=
-  by
-  rw [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜]
-  ring
+    re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 := by
+  rw [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜]; ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four
 
 /- warning: im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four -> im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four is a dubious translation:
@@ -1897,10 +1854,8 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
 Case conversion may be inaccurate. Consider using '#align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The imaginary part of the inner product, in terms of the norm. -/
 theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four (x y : E) :
-    im ⟪x, y⟫ = (‖x - IK • y‖ * ‖x - IK • y‖ - ‖x + IK • y‖ * ‖x + IK • y‖) / 4 :=
-  by
-  simp only [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜, inner_smul_right, I_mul_re]
-  ring
+    im ⟪x, y⟫ = (‖x - IK • y‖ * ‖x - IK • y‖ - ‖x + IK • y‖ * ‖x + IK • y‖) / 4 := by
+  simp only [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜, inner_smul_right, I_mul_re]; ring
 #align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four
 
 /- warning: inner_eq_sum_norm_sq_div_four -> inner_eq_sum_norm_sq_div_four is a dubious translation:
@@ -2909,10 +2864,7 @@ theorem isBoundedBilinearMap_inner [NormedSpace ℝ E] :
     add_right := inner_add_right
     smul_right := fun r x y => by
       simp only [← algebraMap_smul 𝕜 r y, algebra_map_eq_of_real, inner_smul_real_right]
-    bound :=
-      ⟨1, zero_lt_one, fun x y => by
-        rw [one_mul]
-        exact norm_inner_le_norm x y⟩ }
+    bound := ⟨1, zero_lt_one, fun x y => by rw [one_mul]; exact norm_inner_le_norm x y⟩ }
 #align is_bounded_bilinear_map_inner isBoundedBilinearMap_inner
 -/
 
@@ -2991,9 +2943,7 @@ end BesselsInequality
 instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
     where
   inner x y := conj x * y
-  norm_sq_eq_inner x := by
-    unfold inner
-    rw [mul_comm, mul_conj, of_real_re, norm_sq_eq_def']
+  norm_sq_eq_inner x := by unfold inner; rw [mul_comm, mul_conj, of_real_re, norm_sq_eq_def']
   conj_symm x y := by simp only [mul_comm, map_mul, starRingEnd_self_apply]
   add_left x y z := by simp only [add_mul, map_add]
   smul_left x y z := by simp only [mul_assoc, smul_eq_mul, map_mul]
@@ -3198,9 +3148,7 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_f
   rintro ⟨i, v⟩ ⟨j, w⟩ hvw
   by_cases hij : i = j
   · subst hij
-    have : v ≠ w := fun h => by
-      subst h
-      exact hvw rfl
+    have : v ≠ w := fun h => by subst h; exact hvw rfl
     simpa only [LinearIsometry.inner_map_map] using (hv_family i).2 this
   · exact hV hij (v_family i v) (v_family j w)
 #align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormal

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 3f655f5297b030a87d641ad4e825af8d9679eb0b
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -18,6 +18,9 @@ import Mathbin.LinearAlgebra.BilinearForm
 /-!
 # Inner product space
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines inner product spaces and proves the basic properties.  We do not formally
 define Hilbert spaces, but they can be obtained using the set of assumptions
 `[normed_add_comm_group E] [inner_product_space 𝕜 E] [complete_space E]`.
@@ -216,30 +219,21 @@ def normSq (x : F) :=
 local notation "norm_sqF" => @normSq 𝕜 F _ _ _ _
 
 /- warning: inner_product_space.core.inner_conj_symm -> InnerProductSpace.Core.inner_conj_symm is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u1} 𝕜 (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 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(CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symmₓ'. -/
 theorem inner_conj_symm (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
   c.conj_symm x y
 #align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symm
 
 /- warning: inner_product_space.core.inner_self_nonneg -> InnerProductSpace.Core.inner_self_nonneg is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonnegₓ'. -/
 theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
 #align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonneg
 
 /- warning: inner_product_space.core.inner_self_im -> InnerProductSpace.Core.inner_self_im is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_imₓ'. -/
 theorem inner_self_im (x : F) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
@@ -278,28 +272,19 @@ theorem ofReal_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :
 #align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.ofReal_normSq_eq_inner_self
 
 /- warning: inner_product_space.core.inner_re_symm -> InnerProductSpace.Core.inner_re_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symmₓ'. -/
 theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symm
 
 /- warning: inner_product_space.core.inner_im_symm -> InnerProductSpace.Core.inner_im_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symmₓ'. -/
 theorem inner_im_symm (x y : F) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symm
 
 /- warning: inner_product_space.core.inner_smul_left -> InnerProductSpace.Core.inner_smul_left is a dubious translation:
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(Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) r) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_leftₓ'. -/
 theorem inner_smul_left (x y : F) {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   c.smul_left _ _ _
@@ -372,10 +357,7 @@ theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
 #align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zero
 
 /- warning: inner_product_space.core.inner_self_re_to_K -> InnerProductSpace.Core.inner_self_ofReal_re is a dubious translation:
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-but is expected to have type
-  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u2} 𝕜 (IsROrC.ofReal.{u2} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_reₓ'. -/
 theorem inner_self_ofReal_re (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_im]
@@ -433,10 +415,7 @@ theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ :
 #align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_right
 
 /- warning: inner_product_space.core.inner_mul_symm_re_eq_norm -> InnerProductSpace.Core.inner_mul_symm_re_eq_norm is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_normₓ'. -/
 theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
   by
@@ -467,10 +446,7 @@ theorem inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y
 #align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_self
 
 /- warning: inner_product_space.core.cauchy_schwarz_aux -> InnerProductSpace.Core.cauchy_schwarz_aux is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toHasSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))) (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2) _inst_3)))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2) _inst_3)))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c y)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)))) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y))) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)))) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instMulReal) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instSubReal) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instMulReal) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c y)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_auxₓ'. -/
 /-- An auxiliary equality useful to prove the **Cauchy–Schwarz inequality**: the square of the norm
 of `⟪x, y⟫ • x - ⟪x, x⟫ • y` is equal to `‖x‖ ^ 2 * (‖x‖ ^ 2 * ‖y‖ ^ 2 - ‖⟪x, y⟫‖ ^ 2)`. We use
@@ -489,10 +465,7 @@ theorem cauchy_schwarz_aux (x y : F) :
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
 
 /- warning: inner_product_space.core.inner_mul_inner_self_le -> InnerProductSpace.Core.inner_mul_inner_self_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), LE.le.{0} Real Real.hasLe (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)))
-but is expected to have type
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(InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instMulReal) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 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(AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_leₓ'. -/
 /-- **Cauchy–Schwarz inequality**.
 We need this for the `core` structure to prove the triangle inequality below when
@@ -518,20 +491,14 @@ def toNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
 attribute [local instance] to_has_norm
 
 /- warning: inner_product_space.core.norm_eq_sqrt_inner -> InnerProductSpace.Core.norm_eq_sqrt_inner is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_innerₓ'. -/
 theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   rfl
 #align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_inner
 
 /- warning: inner_product_space.core.inner_self_eq_norm_mul_norm -> InnerProductSpace.Core.inner_self_eq_norm_mul_norm is a dubious translation:
-lean 3 declaration is
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-  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_normₓ'. -/
 theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
@@ -676,10 +643,7 @@ theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
 #align inner_eq_zero_symm inner_eq_zero_symm
 
 /- warning: inner_self_im -> inner_self_im is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_self_im inner_self_imₓ'. -/
 @[simp]
 theorem inner_self_im (x : E) : im ⟪x, x⟫ = 0 := by rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
@@ -708,28 +672,19 @@ theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ :
 #align inner_add_right inner_add_right
 
 /- warning: inner_re_symm -> inner_re_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_re_symm inner_re_symmₓ'. -/
 theorem inner_re_symm (x y : E) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_re_symm inner_re_symm
 
 /- warning: inner_im_symm -> inner_im_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_im_symm inner_im_symmₓ'. -/
 theorem inner_im_symm (x y : E) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_im_symm inner_im_symm
 
 /- warning: inner_smul_left -> inner_smul_left is a dubious translation:
-lean 3 declaration is
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(SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 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(Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) r) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_smul_left inner_smul_leftₓ'. -/
 theorem inner_smul_left (x y : E) (r : 𝕜) : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   InnerProductSpace.smul_left _ _ _
@@ -839,10 +794,7 @@ theorem inner_sum {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
 #align inner_sum inner_sum
 
 /- warning: finsupp.sum_inner -> Finsupp.sum_inner is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (l : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (v : ι -> E) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finsupp.sum.{u3, u1, u2} ι 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) l (fun (i : ι) (a : 𝕜) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) a (v i))) x) (Finsupp.sum.{u3, u1, u1} ι 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) l (fun (i : ι) (a : 𝕜) => SMul.smul.{u1, u1} 𝕜 𝕜 (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) a) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (l : Finsupp.{u3, u2} ι 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (v : ι -> E) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Finsupp.sum.{u3, u2, u1} ι 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) l (fun (i : ι) (a : 𝕜) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) a (v i))) x) (Finsupp.sum.{u3, u2, u2} ι 𝕜 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) l (fun (i : ι) (a : 𝕜) => HSMul.hSMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 𝕜 (instHSMul.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 (Algebra.toSMul.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 (Semifield.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (Field.toSemifield.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (NormedField.toField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) _inst_1)) (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (NormedAlgebra.id.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) _inst_1)))))) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) a) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align finsupp.sum_inner Finsupp.sum_innerₓ'. -/
 /-- An inner product with a sum on the left, `finsupp` version. -/
 theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
@@ -853,10 +805,7 @@ theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
 #align finsupp.sum_inner Finsupp.sum_inner
 
 /- warning: finsupp.inner_sum -> Finsupp.inner_sum is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finsupp.inner_sum Finsupp.inner_sumₓ'. -/
 /-- An inner product with a sum on the right, `finsupp` version. -/
 theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
@@ -902,10 +851,7 @@ theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
 #align inner_zero_left inner_zero_left
 
 /- warning: inner_re_zero_left -> inner_re_zero_left is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_re_zero_left inner_re_zero_leftₓ'. -/
 theorem inner_re_zero_left (x : E) : re ⟪0, x⟫ = 0 := by
   simp only [inner_zero_left, AddMonoidHom.map_zero]
@@ -923,20 +869,14 @@ theorem inner_zero_right (x : E) : ⟪x, 0⟫ = 0 := by
 #align inner_zero_right inner_zero_right
 
 /- warning: inner_re_zero_right -> inner_re_zero_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_re_zero_right inner_re_zero_rightₓ'. -/
 theorem inner_re_zero_right (x : E) : re ⟪x, 0⟫ = 0 := by
   simp only [inner_zero_right, AddMonoidHom.map_zero]
 #align inner_re_zero_right inner_re_zero_right
 
 /- warning: inner_self_nonneg -> inner_self_nonneg is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_self_nonneg inner_self_nonnegₓ'. -/
 theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ :=
   InnerProductSpace.toCore.nonneg_re x
@@ -953,10 +893,7 @@ theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
 #align real_inner_self_nonneg real_inner_self_nonneg
 
 /- warning: inner_self_re_to_K -> inner_self_ofReal_re is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_self_re_to_K inner_self_ofReal_reₓ'. -/
 @[simp]
 theorem inner_self_ofReal_re (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
@@ -974,10 +911,7 @@ theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) :
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
 
 /- warning: inner_self_re_eq_norm -> inner_self_re_eq_norm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align inner_self_re_eq_norm inner_self_re_eq_normₓ'. -/
 theorem inner_self_re_eq_norm (x : E) : re ⟪x, x⟫ = ‖⟪x, x⟫‖ :=
   by
@@ -1030,10 +964,7 @@ theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
 #align inner_self_ne_zero inner_self_ne_zero
 
 /- warning: inner_self_nonpos -> inner_self_nonpos is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_self_nonpos inner_self_nonposₓ'. -/
 @[simp]
 theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 := by
@@ -1124,10 +1055,7 @@ theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ :
 #align inner_sub_right inner_sub_right
 
 /- warning: inner_mul_symm_re_eq_norm -> inner_mul_symm_re_eq_norm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_normₓ'. -/
 theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
   by
@@ -1225,10 +1153,7 @@ theorem parallelogram_law {x y : E} : ⟪x + y, x + y⟫ + ⟪x - y, x - y⟫ =
 #align parallelogram_law parallelogram_law
 
 /- warning: inner_mul_inner_self_le -> inner_mul_inner_self_le is a dubious translation:
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(AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y y)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_mul_inner_self_le inner_mul_inner_self_leₓ'. -/
 /-- **Cauchy–Schwarz inequality**. -/
 theorem inner_mul_inner_self_le (x y : E) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
@@ -1354,10 +1279,7 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
 omit dec_E
 
 /- warning: orthonormal.inner_right_finsupp -> Orthonormal.inner_right_finsupp is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsuppₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
@@ -1367,10 +1289,7 @@ theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 
 /- warning: orthonormal.inner_right_sum -> Orthonormal.inner_right_sum is a dubious translation:
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-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (s : ι -> 𝕜) {i : Finset.{u1} ι} {hi : ι}, (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) hi i) -> (Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (hv hi) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) i (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} 𝕜 E E (instHSMul.{u3, u2} 𝕜 E (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (s i) (hv i)))) (s hi)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_sum Orthonormal.inner_right_sumₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
@@ -1380,10 +1299,7 @@ theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 
 /- warning: orthonormal.inner_right_fintype -> Orthonormal.inner_right_fintype is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : Fintype.{u3} ι] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) (i : ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finset.univ.{u3} ι _inst_6) (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i)))) (l i))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_fintype Orthonormal.inner_right_fintypeₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
@@ -1393,10 +1309,7 @@ theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthon
 #align orthonormal.inner_right_fintype Orthonormal.inner_right_fintype
 
 /- warning: orthonormal.inner_left_finsupp -> Orthonormal.inner_left_finsupp is a dubious translation:
-lean 3 declaration is
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_inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) 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((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) 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(x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) 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a) (Finsupp.funLike.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) i i_1)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsuppₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
@@ -1405,10 +1318,7 @@ theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 #align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsupp
 
 /- warning: orthonormal.inner_left_sum -> Orthonormal.inner_left_sum is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) {s : Finset.{u3} ι} {i : ι}, (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i))) (v i)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (l i))))
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_sum Orthonormal.inner_left_sumₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
@@ -1419,10 +1329,7 @@ theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l :
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 
 /- warning: orthonormal.inner_left_fintype -> Orthonormal.inner_left_fintype is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : Fintype.{u3} ι] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) (i : ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finset.univ.{u3} ι _inst_6) (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i))) (v i)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (l i)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : DecidableEq.{succ u3} ι] [v : Fintype.{u3} ι] {hv : ι -> E}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (i : ι -> 𝕜) (i_1 : ι), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u1, u3} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (Finset.univ.{u3} ι v) (fun (i_1 : ι) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (a : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 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(CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (i i_1)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_fintype Orthonormal.inner_left_fintypeₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
@@ -1432,10 +1339,7 @@ theorem Orthonormal.inner_left_fintype [Fintype ι] {v : ι → E} (hv : Orthono
 #align orthonormal.inner_left_fintype Orthonormal.inner_left_fintype
 
 /- warning: orthonormal.inner_finsupp_eq_sum_left -> Orthonormal.inner_finsupp_eq_sum_left is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l₁ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (l₂ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (l₂ : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (l₂_1 : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) (InnerProductSpace.toInner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) l₂) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 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_inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) ι (fun (a : ι) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) a) (Finsupp.funLike.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) l₂_1 i))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_leftₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the first `finsupp`. -/
@@ -1445,10 +1349,7 @@ theorem Orthonormal.inner_finsupp_eq_sum_left {v : ι → E} (hv : Orthonormal 
 #align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_left
 
 /- warning: orthonormal.inner_finsupp_eq_sum_right -> Orthonormal.inner_finsupp_eq_sum_right is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l₁ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (l₂ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (l₂ : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (l₂_1 : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) (InnerProductSpace.toInner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) l₂) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 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_inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_rightₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the second `finsupp`. -/
@@ -1458,10 +1359,7 @@ theorem Orthonormal.inner_finsupp_eq_sum_right {v : ι → E} (hv : Orthonormal
 #align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_right
 
 /- warning: orthonormal.inner_sum -> Orthonormal.inner_sum is a dubious translation:
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(AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (l₂ i) (hv i))) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s_1 (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} 𝕜 E E (instHSMul.{u3, u2} 𝕜 E (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (s i) (hv i)))) (Finset.sum.{u3, u1} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) s_1 (fun (i : ι) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NonUnitalNonAssocRing.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NonAssocRing.toNonUnitalNonAssocRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (Ring.toNonAssocRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NormedRing.toRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NormedCommRing.toNormedRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NormedField.toNormedCommRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) _inst_1))))))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 (fun (a : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (l₂ i)) (s i))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_sum Orthonormal.inner_sumₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum. -/
@@ -1552,10 +1450,7 @@ theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
 #align orthonormal.to_subtype_range Orthonormal.toSubtypeRange
 
 /- warning: orthonormal.inner_finsupp_eq_zero -> Orthonormal.inner_finsupp_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall {s : Set.{u3} ι} {i : ι}, (Not (Membership.Mem.{u3, u3} ι (Set.{u3} ι) (Set.hasMem.{u3} ι) i s)) -> (forall {l : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))}, (Membership.Mem.{max u3 u1, max u3 u1} (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (Submodule.{u1, max u3 u1} 𝕜 (Finsupp.{u3, u1} ι 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (SetLike.hasMem.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} 𝕜 (Finsupp.{u3, u1} ι 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.{u3, u1} ι 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Submodule.setLike.{u1, max u3 u1} 𝕜 (Finsupp.{u3, u1} ι 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) l (Finsupp.supported.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) s)) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l) (v i)) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall {i : Set.{u1} ι} {hi : ι}, (Not (Membership.mem.{u1, u1} ι (Set.{u1} ι) (Set.instMembershipSet.{u1} ι) hi i)) -> (forall {hl : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))}, (Membership.mem.{max u3 u1, max u3 u1} (Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Submodule.{u3, max u3 u1} 𝕜 (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (SetLike.instMembership.{max u3 u1, max u3 u1} (Submodule.{u3, max u3 u1} 𝕜 (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (Submodule.setLike.{u3, max u3 u1} 𝕜 (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zeroₓ'. -/
 /-- A linear combination of some subset of an orthonormal set is orthogonal to other members of the
 set. -/
@@ -1701,10 +1596,7 @@ end OrthonormalSets
 section Norm
 
 /- warning: norm_eq_sqrt_inner -> norm_eq_sqrt_inner is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_eq_sqrt_inner norm_eq_sqrt_innerₓ'. -/
 theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   calc
@@ -1720,10 +1612,7 @@ theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
 -/
 
 /- warning: inner_self_eq_norm_mul_norm -> inner_self_eq_norm_mul_norm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_normₓ'. -/
 theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [@norm_eq_sqrt_inner 𝕜, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫),
@@ -1731,10 +1620,7 @@ theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖
 #align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_norm
 
 /- warning: inner_self_eq_norm_sq -> inner_self_eq_norm_sq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_self_eq_norm_sq inner_self_eq_norm_sqₓ'. -/
 theorem inner_self_eq_norm_sq (x : E) : re ⟪x, x⟫ = ‖x‖ ^ 2 := by
   rw [pow_two, inner_self_eq_norm_mul_norm]
@@ -1765,10 +1651,7 @@ theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
 variable (𝕜)
 
 /- warning: norm_add_sq -> norm_add_sq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_add_sq norm_add_sqₓ'. -/
 /-- Expand the square -/
 theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
@@ -1780,10 +1663,7 @@ theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y
 #align norm_add_sq norm_add_sq
 
 /- warning: norm_add_pow_two -> norm_add_pow_two is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_add_pow_two norm_add_pow_twoₓ'. -/
 alias norm_add_sq ← norm_add_pow_two
 #align norm_add_pow_two norm_add_pow_two
@@ -1811,10 +1691,7 @@ alias norm_add_sq_real ← norm_add_pow_two_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
 /- warning: norm_add_mul_self -> norm_add_mul_self is a dubious translation:
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𝕜 E _inst_1 _inst_2 _inst_3) x y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_add_mul_self norm_add_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
@@ -1838,10 +1715,7 @@ theorem norm_add_mul_self_real (x y : F) :
 #align norm_add_mul_self_real norm_add_mul_self_real
 
 /- warning: norm_sub_sq -> norm_sub_sq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_sub_sq norm_sub_sqₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 := by
@@ -1850,10 +1724,7 @@ theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y
 #align norm_sub_sq norm_sub_sq
 
 /- warning: norm_sub_pow_two -> norm_sub_pow_two is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_sub_pow_two norm_sub_pow_twoₓ'. -/
 alias norm_sub_sq ← norm_sub_pow_two
 #align norm_sub_pow_two norm_sub_pow_two
@@ -1879,10 +1750,7 @@ alias norm_sub_sq_real ← norm_sub_pow_two_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
 /- warning: norm_sub_mul_self -> norm_sub_mul_self is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self norm_sub_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
@@ -1930,10 +1798,7 @@ theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ *
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
 
 /- warning: re_inner_le_norm -> re_inner_le_norm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align re_inner_le_norm re_inner_le_normₓ'. -/
 theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
   le_trans (re_le_norm (inner x y)) (norm_inner_le_norm x y)
@@ -1995,10 +1860,7 @@ variable {𝕜}
 omit 𝕜
 
 /- warning: re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two -> re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
@@ -2009,10 +1871,7 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_tw
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
 /- warning: re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two -> re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two is a dubious translation:
-lean 3 declaration is
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(AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x y)))) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 2 (instOfNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
@@ -2023,10 +1882,7 @@ theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_tw
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
 /- warning: re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four -> re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
@@ -2037,10 +1893,7 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
 #align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four
 
 /- warning: im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four -> im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four is a dubious translation:
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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 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(SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y))))) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 4 (instOfNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 4 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The imaginary part of the inner product, in terms of the norm. -/
 theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four (x y : E) :
@@ -2051,10 +1904,7 @@ theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_fo
 #align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four
 
 /- warning: inner_eq_sum_norm_sq_div_four -> inner_eq_sum_norm_sq_div_four is a dubious translation:
-lean 3 declaration is
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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))))
-but is expected to have type
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_inst_1))))))))) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (HPow.hPow.{u2, 0, u2} 𝕜 Nat 𝕜 (instHPow.{u2, 0} 𝕜 Nat (Monoid.Pow.{u2} 𝕜 (MonoidWithZero.toMonoid.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E 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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_fourₓ'. -/
 /-- Polarization identity: The inner product, in terms of the norm. -/
 theorem inner_eq_sum_norm_sq_div_four (x y : E) :
@@ -2067,10 +1917,7 @@ theorem inner_eq_sum_norm_sq_div_four (x y : E) :
 #align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_four
 
 /- warning: dist_div_norm_sq_smul -> dist_div_norm_sq_smul is a dubious translation:
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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) R (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) R (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (Dist.dist.{u1} F (PseudoMetricSpace.toDist.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) x y)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_div_norm_sq_smul dist_div_norm_sq_smulₓ'. -/
 /-- Formula for the distance between the images of two nonzero points under an inversion with center
 zero. See also `euclidean_geometry.dist_inversion_inversion` for inversions around a general
@@ -2118,10 +1965,7 @@ section Complex
 variable {V : Type _} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
 
 /- warning: inner_map_polarization -> inner_map_polarization is a dubious translation:
-lean 3 declaration is
-  forall {V : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} V] [_inst_7 : InnerProductSpace.{0, u1} Complex V Complex.isROrC _inst_6] (T : LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (x : V) (y : V), Eq.{1} Complex (Inner.inner.{0, u1} Complex V (InnerProductSpace.toHasInner.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (fun (_x : LinearMap.{0, 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(AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) T y) x) (HDiv.hDiv.{0, 0, 0} Complex Complex Complex (instHDiv.{0} Complex (DivInvMonoid.toHasDiv.{0} Complex (DivisionRing.toDivInvMonoid.{0} Complex (NormedDivisionRing.toDivisionRing.{0} Complex (NormedField.toNormedDivisionRing.{0} Complex Complex.normedField))))) (HSub.hSub.{0, 0, 0} Complex Complex Complex (instHSub.{0} Complex Complex.hasSub) (HAdd.hAdd.{0, 0, 0} Complex Complex Complex (instHAdd.{0} Complex Complex.hasAdd) (HSub.hSub.{0, 0, 0} Complex Complex Complex (instHSub.{0} Complex Complex.hasSub) (Inner.inner.{0, u1} Complex V (InnerProductSpace.toHasInner.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) 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(AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x y)) (HAdd.hAdd.{u1, u1, u1} V V V (instHAdd.{u1} V (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x y)) (Inner.inner.{0, u1} Complex V (InnerProductSpace.toHasInner.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (fun (_x : LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField 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(NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) => V -> V) (LinearMap.hasCoeToFun.{0, 0, u1, u1} Complex Complex V V (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) T (HAdd.hAdd.{u1, u1, u1} V V V (instHAdd.{u1} V (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) 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_inst_7))))))) Complex.I y))))) (OfNat.ofNat.{0} Complex 4 (instOfNat.{0} Complex 4 (Semiring.toNatCast.{0} Complex Complex.instSemiringComplex) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_map_polarization inner_map_polarizationₓ'. -/
 /-- A complex polarization identity, with a linear map
 -/
@@ -2139,10 +1983,7 @@ theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
 #align inner_map_polarization inner_map_polarization
 
 /- warning: inner_map_polarization' -> inner_map_polarization' is a dubious translation:
-lean 3 declaration is
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_inst_7))))))) Complex.I y))))) (OfNat.ofNat.{0} Complex 4 (instOfNat.{0} Complex 4 (Semiring.toNatCast.{0} Complex Complex.instSemiringComplex) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_map_polarization' inner_map_polarization'ₓ'. -/
 theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
     ⟪T x, y⟫_ℂ =
@@ -2158,10 +1999,7 @@ theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
 #align inner_map_polarization' inner_map_polarization'
 
 /- warning: inner_map_self_eq_zero -> inner_map_self_eq_zero is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_map_self_eq_zero inner_map_self_eq_zeroₓ'. -/
 /-- A linear map `T` is zero, if and only if the identity `⟪T x, x⟫_ℂ = 0` holds for all `x`.
 -/
@@ -2177,10 +2015,7 @@ theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_
 #align inner_map_self_eq_zero inner_map_self_eq_zero
 
 /- warning: ext_inner_map -> ext_inner_map is a dubious translation:
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Complex Complex.instSemiringComplex))) T x) x)) (Eq.{succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7))) S T)
+<too large>
 Case conversion may be inaccurate. Consider using '#align ext_inner_map ext_inner_mapₓ'. -/
 /--
 Two linear maps `S` and `T` are equal, if and only if the identity `⟪S x, x⟫_ℂ = ⟪T x, x⟫_ℂ` holds
@@ -2204,10 +2039,7 @@ variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 variable {E'' : Type _} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
 /- warning: linear_isometry.inner_map_map -> LinearIsometry.inner_map_map is a dubious translation:
-lean 3 declaration is
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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f y)) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_isometry.inner_map_map LinearIsometry.inner_map_mapₓ'. -/
 /-- A linear isometry preserves the inner product. -/
 @[simp]
@@ -2216,10 +2048,7 @@ theorem LinearIsometry.inner_map_map (f : E →ₗᵢ[𝕜] E') (x y : E) : ⟪f
 #align linear_isometry.inner_map_map LinearIsometry.inner_map_map
 
 /- warning: linear_isometry_equiv.inner_map_map -> LinearIsometryEquiv.inner_map_map is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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-but is expected to have type
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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 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_inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 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(InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) f y)) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_mapₓ'. -/
 /-- A linear isometric equivalence preserves the inner product. -/
 @[simp]
@@ -2228,10 +2057,7 @@ theorem LinearIsometryEquiv.inner_map_map (f : E ≃ₗᵢ[𝕜] E') (x y : E) :
 #align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_map
 
 /- warning: linear_map.isometry_of_inner -> LinearMap.isometryOfInner is a dubious translation:
-lean 3 declaration is
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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_inner LinearMap.isometryOfInnerₓ'. -/
 /-- A linear map that preserves the inner product is a linear isometry. -/
 def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E →ₗᵢ[𝕜] E' :=
@@ -2239,10 +2065,7 @@ def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y
 #align linear_map.isometry_of_inner LinearMap.isometryOfInner
 
 /- warning: linear_map.coe_isometry_of_inner -> LinearMap.coe_isometryOfInner is a dubious translation:
-lean 3 declaration is
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_inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 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_inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInnerₓ'. -/
 @[simp]
 theorem LinearMap.coe_isometryOfInner (f : E →ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
@@ -2250,10 +2073,7 @@ theorem LinearMap.coe_isometryOfInner (f : E →ₗ[𝕜] E') (h) : ⇑(f.isomet
 #align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInner
 
 /- warning: linear_map.isometry_of_inner_to_linear_map -> LinearMap.isometryOfInner_toLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E' (SeminormedAddCommGroup.toAddCommGroup.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometry.toLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearMap.isometryOfInner.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMapₓ'. -/
 @[simp]
 theorem LinearMap.isometryOfInner_toLinearMap (f : E →ₗ[𝕜] E') (h) :
@@ -2262,10 +2082,7 @@ theorem LinearMap.isometryOfInner_toLinearMap (f : E →ₗ[𝕜] E') (h) :
 #align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMap
 
 /- warning: linear_equiv.isometry_of_inner -> LinearEquiv.isometryOfInner is a dubious translation:
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𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_1.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_2.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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_inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_3.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_4.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))
-but is expected to have type
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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u1, u3} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 E (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E' (AddMonoid.toZero.{u3} E' (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u1, u3} 𝕜 E' (AddMonoid.toAddZeroClass.{u3} E' (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u1, u3} 𝕜 E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6))) (Module.toDistribMulAction.{u1, u3} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u1, u3} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} 𝕜 E E' (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E E' (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) -> (LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInnerₓ'. -/
 /-- A linear equivalence that preserves the inner product is a linear isometric equivalence. -/
 def LinearEquiv.isometryOfInner (f : E ≃ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E ≃ₗᵢ[𝕜] E' :=
@@ -2273,10 +2090,7 @@ def LinearEquiv.isometryOfInner (f : E ≃ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f
 #align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInner
 
 /- warning: linear_equiv.coe_isometry_of_inner -> LinearEquiv.coe_isometryOfInner is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_3.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_4.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' 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-but is expected to have type
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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 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(Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u3, u2} 𝕜 E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribMulAction.toDistribSMul.{u3, u2} 𝕜 E (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 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(NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) (LinearEquiv.isometryOfInner.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 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u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInnerₓ'. -/
 @[simp]
 theorem LinearEquiv.coe_isometryOfInner (f : E ≃ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
@@ -2284,10 +2098,7 @@ theorem LinearEquiv.coe_isometryOfInner (f : E ≃ₗ[𝕜] E') (h) : ⇑(f.isom
 #align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInner
 
 /- warning: linear_equiv.isometry_of_inner_to_linear_equiv -> LinearEquiv.isometryOfInner_toLinearEquiv is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 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(LinearEquiv.isometryOfInner._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_8.{u1} 𝕜 _inst_1) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearEquiv.isometryOfInner.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u3, u2} 𝕜 E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribMulAction.toDistribSMul.{u3, u2} 𝕜 E (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 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_inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearEquiv.isometryOfInner.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
@@ -2296,10 +2107,7 @@ theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
 #align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquiv
 
 /- warning: linear_isometry.orthonormal_comp_iff -> LinearIsometry.orthonormal_comp_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {v : ι -> E} (f : LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))), Iff (Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) f) v)) (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v)
-but is expected to have type
-  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {E' : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E'] [_inst_7 : InnerProductSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6] {v : ι -> E} (f : LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))), Iff (Orthonormal.{u4, u2, u1} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u1, succ u3, succ u2} ι E E' (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' 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(DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f) v)) (Orthonormal.{u4, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iffₓ'. -/
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
@@ -2308,10 +2116,7 @@ theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 
 /- warning: orthonormal.comp_linear_isometry -> Orthonormal.comp_linearIsometry is a dubious translation:
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-  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u4, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 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(DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u3 u1, u3, u1} (LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u1, u4, u4, u3, u1} (LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u1, max u3 u1} 𝕜 𝕜 E E' (LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f) v))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometryₓ'. -/
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
@@ -2319,10 +2124,7 @@ theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v)
 #align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometry
 
 /- warning: orthonormal.comp_linear_isometry_equiv -> Orthonormal.comp_linearIsometryEquiv is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometryEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearIsometryEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometryEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometryEquiv.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) f) v))
-but is expected to have type
-  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u4, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u4, u1, u2} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u2, succ u3, succ u1} ι E E' (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u3 u1, u3, u1} (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u1, u4, u4, u3, u1} (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u1, max u3 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u4, u4, u3, u1, max u3 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) 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(IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquivₓ'. -/
 /-- A linear isometric equivalence preserves the property of being orthonormal. -/
 theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
@@ -2331,10 +2133,7 @@ theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 
 #align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquiv
 
 /- warning: orthonormal.map_linear_isometry_equiv -> Orthonormal.mapLinearIsometryEquiv is a dubious translation:
-lean 3 declaration is
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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) v (LinearIsometryEquiv.toLinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) f))))
-but is expected to have type
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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) -> (forall (f : LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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_inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) f))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquivₓ'. -/
 /-- A linear isometric equivalence, applied with `basis.map`, preserves the property of being
 orthonormal. -/
@@ -2344,10 +2143,7 @@ theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonorm
 #align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquiv
 
 /- warning: linear_map.isometry_of_orthonormal -> LinearMap.isometryOfOrthonormal is a dubious translation:
-lean 3 declaration is
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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v))) -> (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormalₓ'. -/
 /-- A linear map that sends an orthonormal basis to orthonormal vectors is a linear isometry. -/
 def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2358,10 +2154,7 @@ def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E
 #align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormal
 
 /- warning: linear_map.coe_isometry_of_orthonormal -> LinearMap.coe_isometryOfOrthonormal is a dubious translation:
-lean 3 declaration is
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(DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormalₓ'. -/
 @[simp]
 theorem LinearMap.coe_isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
@@ -2370,10 +2163,7 @@ theorem LinearMap.coe_isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis 
 #align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormal
 
 /- warning: linear_map.isometry_of_orthonormal_to_linear_map -> LinearMap.isometryOfOrthonormal_toLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 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(NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v))), Eq.{max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometry.toLinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMapₓ'. -/
 @[simp]
 theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
@@ -2383,10 +2173,7 @@ theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v :
 #align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMap
 
 /- warning: linear_equiv.isometry_of_orthonormal -> LinearEquiv.isometryOfOrthonormal is a dubious translation:
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_inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u4} E' (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u1, u4} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u4, max u2 u4} 𝕜 E E' (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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_inst_7)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormalₓ'. -/
 /-- A linear equivalence that sends an orthonormal basis to orthonormal vectors is a linear
 isometric equivalence. -/
@@ -2399,10 +2186,7 @@ def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜
 #align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormal
 
 /- warning: linear_equiv.coe_isometry_of_orthonormal -> LinearEquiv.coe_isometryOfOrthonormal is a dubious translation:
-lean 3 declaration is
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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u4, u3} 𝕜 E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribMulAction.toDistribSMul.{u4, u3} 𝕜 E (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E' (AddMonoid.toZero.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u4, u2} 𝕜 E' (AddMonoid.toAddZeroClass.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u4, u2} 𝕜 E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u4, u3, u2, max u3 u2} 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 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𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (LinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u2} E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) (LinearEquiv.isometryOfOrthonormal.{u4, u3, u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι E' _inst_6 _inst_7 f v hv hf)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 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(RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u4, u3} 𝕜 E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) 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(InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E' (AddMonoid.toZero.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u4, u2} 𝕜 E' (AddMonoid.toAddZeroClass.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u4, u2} 𝕜 E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' 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(NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u4, u3, u2, max u3 u2} 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormalₓ'. -/
 @[simp]
 theorem LinearEquiv.coe_isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
@@ -2411,10 +2195,7 @@ theorem LinearEquiv.coe_isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis
 #align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormal
 
 /- warning: linear_equiv.isometry_of_orthonormal_to_linear_equiv -> LinearEquiv.isometryOfOrthonormal_toLinearEquiv is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u1) (succ u2), succ u3, succ u2} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => E) (Basis.funLike.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v)) (hf : Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u4, u3} 𝕜 E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribMulAction.toDistribSMul.{u4, u3} 𝕜 E (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E' (AddMonoid.toZero.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u4, u2} 𝕜 E' (AddMonoid.toAddZeroClass.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u4, u2} 𝕜 E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u4, u3, u2, max u3 u2} 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_orthonormal_to_linear_equiv LinearEquiv.isometryOfOrthonormal_toLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.isometryOfOrthonormal_toLinearEquiv (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
@@ -2438,10 +2219,7 @@ def Orthonormal.equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basi
 -/
 
 /- warning: orthonormal.equiv_to_linear_equiv -> Orthonormal.equiv_toLinearEquiv is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquivₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2451,10 +2229,7 @@ theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal
 #align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquiv
 
 /- warning: orthonormal.equiv_apply -> Orthonormal.equiv_apply is a dubious translation:
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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_apply Orthonormal.equiv_applyₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2464,10 +2239,7 @@ theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Ortho
 #align orthonormal.equiv_apply Orthonormal.equiv_apply
 
 /- warning: orthonormal.equiv_refl -> Orthonormal.equiv_refl is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_refl Orthonormal.equiv_reflₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
@@ -2477,10 +2249,7 @@ theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
 #align orthonormal.equiv_refl Orthonormal.equiv_refl
 
 /- warning: orthonormal.equiv_symm -> Orthonormal.equiv_symm is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {ι' : Type.{u4}} {E' : Type.{u5}} [_inst_6 : NormedAddCommGroup.{u5} E'] [_inst_7 : InnerProductSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) 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-but is expected to have type
-  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u5}} {ι' : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u5, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u5} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) 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u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' ι E _inst_2 _inst_3 v' hv' v hv (Equiv.symm.{succ u5, succ u2} ι ι' e))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_symm Orthonormal.equiv_symmₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
@@ -2491,10 +2260,7 @@ theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {
 #align orthonormal.equiv_symm Orthonormal.equiv_symm
 
 /- warning: orthonormal.equiv_trans -> Orthonormal.equiv_trans is a dubious translation:
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-  forall {𝕜 : Type.{u6}} {E : Type.{u5}} [_inst_1 : IsROrC.{u6} 𝕜] [_inst_2 : NormedAddCommGroup.{u5} E] [_inst_3 : InnerProductSpace.{u6, u5} 𝕜 E _inst_1 _inst_2] {ι : Type.{u7}} {ι' : Type.{u4}} {ι'' : Type.{u2}} {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6] {E'' : Type.{u1}} [_inst_8 : NormedAddCommGroup.{u1} E''] [_inst_9 : InnerProductSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8] {v : Basis.{u7, u6, u5} ι 𝕜 E (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E (NormedAddCommGroup.toAddCommGroup.{u5} E _inst_2)) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u6, u5, u7} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u6) (succ u5)) (succ u7), succ u7, succ u5} (Basis.{u7, u6, u5} ι 𝕜 E (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E (NormedAddCommGroup.toAddCommGroup.{u5} E _inst_2)) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u7, u6, u5} ι 𝕜 E (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E (NormedAddCommGroup.toAddCommGroup.{u5} E _inst_2)) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) {v' : Basis.{u4, u6, u3} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u6, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))} (hv' : Orthonormal.{u6, u3, u4} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' (FunLike.coe.{max (max (succ u6) (succ u4)) (succ u3), succ u4, succ u3} (Basis.{u4, u6, u3} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u6, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) ι' (fun (_x : ι') => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι') => E') _x) (Basis.funLike.{u4, u6, u3} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u6, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) v')) (e : Equiv.{succ u7, succ u4} ι ι') {v'' : Basis.{u2, u6, u1} ι'' 𝕜 E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E'' (NormedAddCommGroup.toAddCommGroup.{u1} E'' _inst_8)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))} (hv'' : Orthonormal.{u6, u1, u2} 𝕜 E'' _inst_1 _inst_8 _inst_9 ι'' (FunLike.coe.{max (max (succ u6) (succ u2)) (succ u1), succ u2, succ u1} (Basis.{u2, u6, u1} ι'' 𝕜 E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E'' (NormedAddCommGroup.toAddCommGroup.{u1} E'' _inst_8)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))) ι'' (fun (_x : ι'') => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι'') => E'') _x) (Basis.funLike.{u2, u6, u1} ι'' 𝕜 E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E'' (NormedAddCommGroup.toAddCommGroup.{u1} E'' _inst_8)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))) v'')) (e' : Equiv.{succ u4, succ u2} ι' ι''), Eq.{max (succ u5) (succ u1)} (LinearIsometryEquiv.{u6, u6, u5, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) E E'' (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))) (LinearIsometryEquiv.trans.{u6, u6, u6, u5, u3, u1} 𝕜 𝕜 𝕜 E E' E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomCompTriple.ids.{u6, u6} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_trans Orthonormal.equiv_transₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
@@ -2505,10 +2271,7 @@ theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
 #align orthonormal.equiv_trans Orthonormal.equiv_trans
 
 /- warning: orthonormal.map_equiv -> Orthonormal.map_equiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.map_equiv Orthonormal.map_equivₓ'. -/
 theorem Orthonormal.map_equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
@@ -2714,10 +2477,7 @@ theorem real_inner_smul_self_right (x : F) (r : ℝ) : ⟪x, r • x⟫_ℝ = r
 #align real_inner_smul_self_right real_inner_smul_self_right
 
 /- warning: norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul -> norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul is a dubious translation:
-lean 3 declaration is
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x)))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulₓ'. -/
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
@@ -2733,10 +2493,7 @@ theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r
 #align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
 /- warning: abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul -> abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulₓ'. -/
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
@@ -2779,10 +2536,7 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul
 
 /- warning: norm_inner_eq_norm_tfae -> norm_inner_eq_norm_tfae is a dubious translation:
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u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (Field.toDiv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) x))) (List.cons.{0} Prop (Or (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (Exists.{succ u2} 𝕜 (fun (r : 𝕜) => Eq.{succ u1} E y (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 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(InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x)))) (List.cons.{0} Prop (Or (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) y (Submodule.span.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (Singleton.singleton.{u1, u1} E (Set.{u1} E) (Set.instSingletonSet.{u1} E) x)))) (List.nil.{0} Prop)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfaeₓ'. -/
 theorem norm_inner_eq_norm_tfae (x y : E) :
     TFAE
@@ -2811,10 +2565,7 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
 #align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfae
 
 /- warning: norm_inner_eq_norm_iff -> norm_inner_eq_norm_iff is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (Iff (Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y))) (Exists.{succ u1} 𝕜 (fun (r : 𝕜) => And (Ne.{succ u1} 𝕜 r (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Eq.{succ u2} E y (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_inner_eq_norm_iff norm_inner_eq_norm_iffₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms, then the two vectors
 are multiples of each other. One form of the equality case for Cauchy-Schwarz.
@@ -2832,10 +2583,7 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
 #align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
 
 /- warning: norm_inner_div_norm_mul_norm_eq_one_iff -> norm_inner_div_norm_mul_norm_eq_one_iff is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
@@ -2889,10 +2637,7 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
 #align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
 
 /- warning: inner_eq_norm_mul_iff -> inner_eq_norm_mul_iff is a dubious translation:
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(Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) y))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff inner_eq_norm_mul_iffₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
@@ -3000,10 +2745,7 @@ theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖
 #align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_one
 
 /- warning: inner_sum_smul_sum_smul_of_sum_eq_zero -> inner_sum_smul_sum_smul_of_sum_eq_zero is a dubious translation:
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(instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zeroₓ'. -/
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
@@ -3032,10 +2774,7 @@ def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
 -/
 
 /- warning: innerₛₗ_apply_coe -> innerₛₗ_apply_coe is a dubious translation:
-lean 3 declaration is
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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) (fun (_x : LinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) => E -> (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (LinearMap.hasCoeToFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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(AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (LinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 E (LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (LinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align innerₛₗ_apply_coe innerₛₗ_apply_coeₓ'. -/
 @[simp]
 theorem innerₛₗ_apply_coe (v : E) : ⇑(innerₛₗ 𝕜 v) = fun w => ⟪v, w⟫ :=
@@ -3043,10 +2782,7 @@ theorem innerₛₗ_apply_coe (v : E) : ⇑(innerₛₗ 𝕜 v) = fun w => ⟪v,
 #align innerₛₗ_apply_coe innerₛₗ_apply_coe
 
 /- warning: innerₛₗ_apply -> innerₛₗ_apply is a dubious translation:
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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) (fun (_x : LinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) => E -> (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (LinearMap.hasCoeToFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 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(NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 E (LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) 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(NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (LinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align innerₛₗ_apply innerₛₗ_applyₓ'. -/
 @[simp]
 theorem innerₛₗ_apply (v w : E) : innerₛₗ 𝕜 v w = ⟪v, w⟫ :=
@@ -3064,10 +2800,7 @@ def innerSL : E →L⋆[𝕜] E →L[𝕜] 𝕜 :=
 -/
 
 /- warning: innerSL_apply_coe -> innerSL_apply_coe is a dubious translation:
-lean 3 declaration is
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(UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align innerSL_apply_coe innerSL_apply_coeₓ'. -/
 @[simp]
 theorem innerSL_apply_coe (v : E) : ⇑(innerSL 𝕜 v) = fun w => ⟪v, w⟫ :=
@@ -3075,10 +2808,7 @@ theorem innerSL_apply_coe (v : E) : ⇑(innerSL 𝕜 v) = fun w => ⟪v, w⟫ :=
 #align innerSL_apply_coe innerSL_apply_coe
 
 /- warning: innerSL_apply -> innerSL_apply is a dubious translation:
-lean 3 declaration is
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(ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (innerSL.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v) w) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
-but is expected to have type
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𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E 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(NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 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(DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (innerSL.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v) w) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
+<too large>
 Case conversion may be inaccurate. Consider using '#align innerSL_apply innerSL_applyₓ'. -/
 @[simp]
 theorem innerSL_apply (v w : E) : innerSL 𝕜 v w = ⟪v, w⟫ :=
@@ -3086,10 +2816,7 @@ theorem innerSL_apply (v w : E) : innerSL 𝕜 v w = ⟪v, w⟫ :=
 #align innerSL_apply innerSL_apply
 
 /- warning: innerSL_apply_norm -> innerSL_apply_norm is a dubious translation:
-lean 3 declaration is
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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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-but is expected to have type
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(SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (innerSL.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align innerSL_apply_norm innerSL_apply_normₓ'. -/
 /-- `innerSL` is an isometry. Note that the associated `linear_isometry` is defined in
 `inner_product_space.dual` as `to_dual_map`.  -/
@@ -3117,10 +2844,7 @@ def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
 -/
 
 /- warning: innerSL_flip_apply -> innerSLFlip_apply is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (coeFn.{max (succ u2) (succ (max u2 u1)), max (succ u2) (succ (max u2 u1))} (ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSLFlip._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_3.{u1} 𝕜 _inst_1) (innerSLFlip._proof_4.{u1} 𝕜 _inst_1) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (innerSLFlip._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSLFlip._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_3.{u1} 𝕜 _inst_1) (innerSLFlip._proof_4.{u1} 𝕜 _inst_1) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (innerSLFlip._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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_inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (innerSLFlip.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x) y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align innerSL_flip_apply innerSLFlip_applyₓ'. -/
 @[simp]
 theorem innerSLFlip_apply (x y : E) : innerSLFlip 𝕜 x y = ⟪y, x⟫ :=
@@ -3143,10 +2867,7 @@ def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜
 -/
 
 /- warning: continuous_linear_map.to_sesq_form_apply_coe -> ContinuousLinearMap.toSesqForm_apply_coe is a dubious translation:
-lean 3 declaration is
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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) => E' -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 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_inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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(NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : ContinuousLinearMap.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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_inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) -> (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toFun.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 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𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' 𝕜 (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u3, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u3, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' 𝕜 (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u3, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E' -> (ContinuousLinearMap.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u3, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) 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-but is expected to have type
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(NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (fun (_x : E') => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max (max u3 u2) u1, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u3 u2) u1, u3, u3, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) 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(Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u2), max (max (succ u1) (succ u2)) (succ u3)} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) _x) (ContinuousMapClass.toFunLike.{max (max u1 u2) u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u1 u2) u3, u3, u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, max u1 u2, max (max u1 u2) u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 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(DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 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(SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))))) (ContinuousLinearMap.toSesqForm.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7) f) x) (ContinuousLinearMap.comp.{u3, u3, u3, u2, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 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(UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) 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(NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E' (fun (_x : E') => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u3 u1, u1, max u3 u1} (ContinuousLinearMap.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E' (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u1, u3, u3, u1, max u3 u1} (ContinuousLinearMap.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (innerSL.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7) x) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coeₓ'. -/
 @[simp]
 theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (innerSL 𝕜 x).comp f :=
@@ -3154,10 +2875,7 @@ theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
 
 /- warning: continuous_linear_map.to_sesq_form_apply_norm_le -> ContinuousLinearMap.toSesqForm_apply_norm_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] {f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) => E' -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 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E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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_inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : ContinuousLinearMap.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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(UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) -> (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toFun.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E 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_inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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-but is expected to have type
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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (fun (_x : E') => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max (max u3 u2) u1, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u3 u2) u1, u3, u3, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) _x) (ContinuousMapClass.toFunLike.{max (max u1 u2) u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u1 u2) u3, u3, u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, max u1 u2, max (max u1 u2) u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) 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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.hasOpNorm.{u3, u3, u2, u1} 𝕜 𝕜 E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) (Norm.norm.{u1} E' (NormedAddCommGroup.toNorm.{u1} E' _inst_6) v))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_leₓ'. -/
 theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm f v‖ ≤ ‖f‖ * ‖v‖ :=
   by
@@ -3309,10 +3027,7 @@ instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace
 -/
 
 /- warning: submodule.coe_inner -> Submodule.coe_inner is a dubious translation:
-lean 3 declaration is
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(DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x W)) _inst_1 (Submodule.normedAddCommGroup.{u2, u1} 𝕜 E (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) W) (Submodule.innerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 W)) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) W)) x) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) W)) y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align submodule.coe_inner Submodule.coe_innerₓ'. -/
 /-- The inner product on submodules is the same as on the ambient space. -/
 @[simp]
@@ -3321,10 +3036,7 @@ theorem Submodule.coe_inner (W : Submodule 𝕜 E) (x y : W) : ⟪x, y⟫ = ⟪(
 #align submodule.coe_inner Submodule.coe_inner
 
 /- warning: orthonormal.cod_restrict -> Orthonormal.codRestrict is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.cod_restrict Orthonormal.codRestrictₓ'. -/
 theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
     (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ _ ι (Set.codRestrict v s hvs) :=
@@ -3332,10 +3044,7 @@ theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
 /- warning: orthonormal_span -> orthonormal_span is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal_span orthonormal_spanₓ'. -/
 theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
@@ -3376,10 +3085,7 @@ variable {𝕜} {G : ι → Type _} [∀ i, NormedAddCommGroup (G i)] [∀ i, In
   {V : ∀ i, G i →ₗᵢ[𝕜] E} (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
 /- warning: orthonormal.orthogonal_family -> Orthonormal.orthogonalFamily is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthonormal.orthogonal_family Orthonormal.orthogonalFamilyₓ'. -/
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
     OrthogonalFamily 𝕜 (fun i : ι => 𝕜) fun i => LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
@@ -3389,10 +3095,7 @@ theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
 include hV dec_ι
 
 /- warning: orthogonal_family.eq_ite -> OrthogonalFamily.eq_ite is a dubious translation:
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_inst_1)))))))) (G i) (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (AddCommGroup.toAddCommMonoid.{u2} (G i) (SeminormedAddCommGroup.toAddCommGroup.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u2, u3, max u3 u2} 𝕜 𝕜 (G i) E (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) 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(PseudoMetricSpace.toUniformSpace.{u2} (G j) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u2, u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G j) (UniformSpace.toTopologicalSpace.{u2} (G j) (PseudoMetricSpace.toUniformSpace.{u2} (G j) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j))))) (AddCommGroup.toAddCommMonoid.{u2} (G j) (SeminormedAddCommGroup.toAddCommGroup.{u2} (G j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u2, u3, max u3 u2} 𝕜 𝕜 (G j) E (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (G j) E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (V j) w)) (ite.{succ u4} 𝕜 (Eq.{succ u1} ι i j) (dec_ι i j) (Inner.inner.{u4, u3} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) (InnerProductSpace.toInner.{u4, u3} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 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(_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) (fun (_x : G i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u2, u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) E (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u2, u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (AddCommGroup.toAddCommMonoid.{u2} (G i) (SeminormedAddCommGroup.toAddCommGroup.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u2, u3, max u3 u2} 𝕜 𝕜 (G i) E (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} 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(DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G j) (UniformSpace.toTopologicalSpace.{u2} (G j) (PseudoMetricSpace.toUniformSpace.{u2} (G j) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j))))) (AddCommGroup.toAddCommMonoid.{u2} (G j) (SeminormedAddCommGroup.toAddCommGroup.{u2} (G j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u2, u3, max u3 u2} 𝕜 𝕜 (G j) E (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 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(_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 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(DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G j) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (V j) w)) (OfNat.ofNat.{u4} 𝕜 0 (Zero.toOfNat0.{u4} 𝕜 (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.eq_ite OrthogonalFamily.eq_iteₓ'. -/
 theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
     ⟪V i v, V j w⟫ = ite (i = j) ⟪V i v, V j w⟫ 0 :=
@@ -3405,10 +3108,7 @@ theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
 include dec_V
 
 /- warning: orthogonal_family.inner_right_dfinsupp -> OrthogonalFamily.inner_right_dfinsupp is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [dec_ι : DecidableEq.{succ u4} ι] {G : ι -> Type.{u3}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u3} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(Ne.{succ u3} (G i) x (OfNat.ofNat.{u3} (G i) 0 (Zero.toOfNat0.{u3} (G i) (NegZeroClass.toZero.{u3} (G i) (SubNegZeroMonoid.toNegZeroClass.{u3} (G i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} (G i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} (G i) (AddCommGroup.toDivisionAddCommMonoid.{u3} (G i) (NormedAddCommGroup.toAddCommGroup.{u3} (G i) (_inst_6 i))))))))))] (l : DirectSum.{u4, u3} ι (fun (i : ι) => G i) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u3} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u3} ((fun (i : ι) => G i) i) (_inst_6 i)))) (i : ι) (v : G i), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) (InnerProductSpace.toInner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) (fun (_x : G i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) _x) (ContinuousMapClass.toFunLike.{max u1 u3, u3, u1} (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) E (UniformSpace.toTopologicalSpace.{u3} (G i) (PseudoMetricSpace.toUniformSpace.{u3} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u3, u2, u2, u3, u1} (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) (UniformSpace.toTopologicalSpace.{u3} (G i) (PseudoMetricSpace.toUniformSpace.{u3} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i))))) (AddCommGroup.toAddCommMonoid.{u3} (G i) (SeminormedAddCommGroup.toAddCommGroup.{u3} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u2, u2, u3, u1, max u1 u3} 𝕜 𝕜 (G i) E (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} 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AddCommGroup.toAddCommMonoid.{u3} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u3} ((fun (i : ι) => G i) i) (_inst_6 i))) i))) i)) l i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_right_dfinsupp OrthogonalFamily.inner_right_dfinsuppₓ'. -/
 theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i) :
     ⟪V i v, l.Sum fun j => V j⟫ = ⟪v, l i⟫ :=
@@ -3430,10 +3130,7 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
 omit dec_ι dec_V
 
 /- warning: orthogonal_family.inner_right_fintype -> OrthogonalFamily.inner_right_fintype is a dubious translation:
-lean 3 declaration is
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(NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 j) (UniformSpace.toTopologicalSpace.{u1} (_inst_6 j) (PseudoMetricSpace.toUniformSpace.{u1} (_inst_6 j) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} (_inst_6 j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j))))) (AddCommGroup.toAddCommMonoid.{u1} (_inst_6 j) (SeminormedAddCommGroup.toAddCommGroup.{u1} (_inst_6 j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 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(Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (_inst_6 j) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (hV j) (i j)))) (Inner.inner.{u3, u1} 𝕜 (_inst_6 v) (InnerProductSpace.toInner.{u3, u1} 𝕜 (_inst_6 v) _inst_1 (_inst_7 v) (V v)) v_1 (i v)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintypeₓ'. -/
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
@@ -3447,10 +3144,7 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 
 /- warning: orthogonal_family.inner_sum -> OrthogonalFamily.inner_sum is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(_inst_6 i) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u1, u2, max u2 u1} 𝕜 𝕜 (_inst_6 i) E (LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_sum OrthogonalFamily.inner_sumₓ'. -/
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
@@ -3469,10 +3163,7 @@ theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 
 /- warning: orthogonal_family.norm_sum -> OrthogonalFamily.norm_sum is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.norm_sum OrthogonalFamily.norm_sumₓ'. -/
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
     ‖∑ i in s, V i (l i)‖ ^ 2 = ∑ i in s, ‖l i‖ ^ 2 :=
@@ -3495,10 +3186,7 @@ theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injec
 #align orthogonal_family.comp OrthogonalFamily.comp
 
 /- warning: orthogonal_family.orthonormal_sigma_orthonormal -> OrthogonalFamily.orthonormal_sigma_orthonormal is a dubious translation:
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(Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u4, u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι _inst_6 (fun (i : ι) => _inst_7 i) (fun (i : ι) => V i) hV) -> (forall {v_family : ι -> Type.{u5}} {hv_family : forall (i : ι), (v_family i) -> (_inst_6 i)}, (forall (i : ι), Orthonormal.{u4, u3, u5} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i) (v_family i) (hv_family i)) -> (Orthonormal.{u4, u2, max u1 u5} 𝕜 E _inst_1 _inst_2 _inst_3 (Sigma.{u1, u5} ι (fun (i : ι) => v_family i)) (fun (a : Sigma.{u1, u5} ι (fun (i : ι) => v_family i)) => FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) _inst_1 (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (V (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (fun (a_1 : _inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : _inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) => E) a_1) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) _inst_1 (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (V (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) E (UniformSpace.toTopologicalSpace.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (PseudoMetricSpace.toUniformSpace.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u4, u4, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) _inst_1 (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (V (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (UniformSpace.toTopologicalSpace.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (PseudoMetricSpace.toUniformSpace.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))))) (AddCommGroup.toAddCommMonoid.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (SeminormedAddCommGroup.toAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) _inst_1 (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (V (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u2, max u2 u3} 𝕜 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) E (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 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(InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) _inst_1 (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (V (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormalₓ'. -/
 theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
@@ -3520,10 +3208,7 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_f
 include dec_ι
 
 /- warning: orthogonal_family.norm_sq_diff_sum -> OrthogonalFamily.norm_sq_diff_sum is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.norm_sq_diff_sum OrthogonalFamily.norm_sq_diff_sumₓ'. -/
 theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
     ‖(∑ i in s₁, V i (f i)) - ∑ i in s₂, V i (f i)‖ ^ 2 =
@@ -3555,10 +3240,7 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 omit dec_ι
 
 /- warning: orthogonal_family.summable_iff_norm_sq_summable -> OrthogonalFamily.summable_iff_norm_sq_summable is a dubious translation:
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_inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) 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(NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (V i) (f i))) (Summable.{0, u3} Real ι Real.instAddCommMonoidReal (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} (G i) (NormedAddCommGroup.toNorm.{u2} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summableₓ'. -/
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
 `(λ i, ‖f i‖ ^ 2)` is summable. -/
@@ -3610,10 +3292,7 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
 omit hV
 
 /- warning: orthogonal_family.independent -> OrthogonalFamily.independent is a dubious translation:
-lean 3 declaration is
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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (V i)) (fun (i : ι) => Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (fun (i : ι) => Submodule.innerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (V i)) (fun (i : ι) => Submodule.subtypeₗᵢ.{u2, u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))) -> (CompleteLattice.Independent.{succ u3, u2} ι (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Submodule.completeLattice.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) V)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] [ι : DecidableEq.{succ u2} E] {V : Type.{u1}} [hV : DecidableEq.{succ u1} V] {V_1 : V -> (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))}, (OrthogonalFamily.{u3, u2, u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 V (fun (i : V) => Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V_1 i))) (fun (i : V) => Submodule.normedAddCommGroup.{u3, u2} 𝕜 E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule'.{u3, u2} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) E _inst_2 (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V_1 i)) (fun (i : V) => Submodule.innerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (V_1 i)) (fun (i : V) => Submodule.subtypeₗᵢ.{u2, u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V_1 i))) -> (CompleteLattice.Independent.{succ u1, u2} V (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Submodule.completeLattice.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) V_1)
+<too large>
 Case conversion may be inaccurate. Consider using '#align orthogonal_family.independent OrthogonalFamily.independentₓ'. -/
 /-- An orthogonal family forms an independent family of subspaces; that is, any collection of
 elements each from a different subspace in the family is linearly independent. In particular, the
@@ -3640,10 +3319,7 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 include dec_ι
 
 /- warning: direct_sum.is_internal.collected_basis_orthonormal -> DirectSum.IsInternal.collectedBasis_orthonormal is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {V : ι -> (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))}, (OrthogonalFamily.{u1, u2, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι (fun (i : ι) => coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (V i)) (fun (i : ι) => Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (fun (i : ι) => Submodule.innerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (V i)) (fun (i : ι) => Submodule.subtypeₗᵢ.{u2, u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))) -> (forall (hV_sum : DirectSum.IsInternal.{u3, u2, u2} ι E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (a : ι) (b : ι) => dec_ι a b) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Submodule.addSubmonoidClass.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (i : ι) => V i)) {α : ι -> Type.{u4}} {v_family : forall (i : ι), Basis.{u4, u1, u2} 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))}, (forall (i : ι), Orthonormal.{u1, u2, u4} 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (V i)) _inst_1 (Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (Submodule.innerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (V i)) (α i) (coeFn.{max (succ u4) (succ u1) (succ u2), max (succ u4) (succ u2)} (Basis.{u4, u1, u2} (α i) 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 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(InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (fun (i : ι) => V i) hV_sum (fun (i : ι) => α i) v_family))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormalₓ'. -/
 theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
@@ -3693,10 +3369,7 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
 variable {E}
 
 /- warning: real_inner_eq_re_inner -> real_inner_eq_re_inner is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align real_inner_eq_re_inner real_inner_eq_re_innerₓ'. -/
 theorem real_inner_eq_re_inner (x y : E) :
     @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
@@ -3740,10 +3413,7 @@ protected theorem Complex.inner (w z : ℂ) : ⟪w, z⟫_ℝ = (conj w * z).re :
 #align complex.inner Complex.inner
 
 /- warning: inner_map_complex -> inner_map_complex is a dubious translation:
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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC))))))))) f y)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align inner_map_complex inner_map_complexₓ'. -/
 /-- The inner product on an inner product space of dimension 2 can be evaluated in terms
 of a complex-number representation of the space. -/
@@ -3823,10 +3493,7 @@ def ContinuousLinearMap.reApplyInnerSelf (T : E →L[𝕜] E) (x : E) : ℝ :=
 -/
 
 /- warning: continuous_linear_map.re_apply_inner_self_apply -> ContinuousLinearMap.reApplyInnerSelf_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : E), Eq.{1} Real (ContinuousLinearMap.reApplyInnerSelf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T x) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => E -> E) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) T x) x))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : E), Eq.{1} Real (ContinuousLinearMap.reApplyInnerSelf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T x) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) x) (InnerProductSpace.toInner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) x) _inst_1 _inst_2 _inst_3) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, u2, u2, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) T x) x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_apply ContinuousLinearMap.reApplyInnerSelf_applyₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_apply (T : E →L[𝕜] E) (x : E) :
     T.reApplyInnerSelf x = re ⟪T x, x⟫ :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

@@ -76,12 +76,14 @@ open BigOperators Topology ComplexConjugate
 
 variable {𝕜 E F : Type _} [IsROrC 𝕜]
 
+#print Inner /-
 /-- Syntactic typeclass for types endowed with an inner product -/
-class HasInner (𝕜 E : Type _) where
+class Inner (𝕜 E : Type _) where
   inner : E → E → 𝕜
-#align has_inner HasInner
+#align has_inner Inner
+-/
 
-export HasInner (inner)
+export Inner (inner)
 
 -- mathport name: «expr⟪ , ⟫_ℝ»
 notation "⟪" x ", " y "⟫_ℝ" => @inner ℝ _ _ x y
@@ -99,6 +101,7 @@ scoped[ComplexInnerProductSpace] notation "⟪" x ", " y "⟫" => @inner ℂ _ _
 
 end Notations
 
+#print InnerProductSpace /-
 /-- An inner product space is a vector space with an additional operation called inner product.
 The norm could be derived from the inner product, instead we require the existence of a norm and
 the fact that `‖x‖^2 = re ⟪x, x⟫` to be able to put instances on `𝕂` or product
@@ -107,12 +110,13 @@ spaces.
 To construct a norm from an inner product, see `inner_product_space.of_core`.
 -/
 class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] [NormedAddCommGroup E] extends
-  NormedSpace 𝕜 E, HasInner 𝕜 E where
+  NormedSpace 𝕜 E, Inner 𝕜 E where
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
   conj_symm : ∀ x y, conj (inner y x) = inner x y
   add_left : ∀ x y z, inner (x + y) z = inner x z + inner y z
   smul_left : ∀ x y r, inner (r • x) y = conj r * inner x y
 #align inner_product_space InnerProductSpace
+-/
 
 /-!
 ### Constructing a normed space structure from an inner product
@@ -133,23 +137,26 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 -/
 
 
+#print InnerProductSpace.Core /-
 /-- A structure requiring that a scalar product is positive definite and symmetric, from which one
 can construct an `inner_product_space` instance in `inner_product_space.of_core`. -/
 @[nolint has_nonempty_instance]
 structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [IsROrC 𝕜] [AddCommGroup F]
-  [Module 𝕜 F] extends HasInner 𝕜 F where
+  [Module 𝕜 F] extends Inner 𝕜 F where
   conj_symm : ∀ x y, conj (inner y x) = inner x y
   nonneg_re : ∀ x, 0 ≤ re (inner x x)
   definite : ∀ x, inner x x = 0 → x = 0
   add_left : ∀ x y z, inner (x + y) z = inner x z + inner y z
   smul_left : ∀ x y r, inner (r • x) y = conj r * inner x y
 #align inner_product_space.core InnerProductSpace.Core
+-/
 
 /- We set `inner_product_space.core` to be a class as we will use it as such in the construction
 of the normed space structure that it produces. However, all the instances we will use will be
 local to this proof. -/
 attribute [class] InnerProductSpace.Core
 
+#print InnerProductSpace.toCore /-
 /-- Define `inner_product_space.core` from `inner_product_space`. Defined to reuse lemmas about
 `inner_product_space.core` for `inner_product_space`s. Note that the `has_norm` instance provided by
 `inner_product_space.core.has_norm` is propositionally but not definitionally equal to the original
@@ -164,6 +171,7 @@ def InnerProductSpace.toCore [NormedAddCommGroup E] [c : InnerProductSpace 𝕜
     definite := fun x hx =>
       norm_eq_zero.1 <| pow_eq_zero <| by rw [InnerProductSpace.norm_sq_eq_inner x, hx, map_zero] }
 #align inner_product_space.to_core InnerProductSpace.toCore
+-/
 
 namespace InnerProductSpace.Core
 
@@ -186,130 +194,284 @@ local notation "ext_iff" => @IsROrC.ext_iff 𝕜 _
 -- mathport name: «expr †»
 local postfix:90 "†" => starRingEnd _
 
+#print InnerProductSpace.Core.toInner' /-
 /-- Inner product defined by the `inner_product_space.core` structure. We can't reuse
 `inner_product_space.core.to_has_inner` because it takes `inner_product_space.core` as an explicit
 argument. -/
-def toHasInner' : HasInner 𝕜 F :=
+def toInner' : Inner 𝕜 F :=
   c.toHasInner
-#align inner_product_space.core.to_has_inner' InnerProductSpace.Core.toHasInner'
+#align inner_product_space.core.to_has_inner' InnerProductSpace.Core.toInner'
+-/
 
 attribute [local instance] to_has_inner'
 
+#print InnerProductSpace.Core.normSq /-
 /-- The norm squared function for `inner_product_space.core` structure. -/
 def normSq (x : F) :=
   reK ⟪x, x⟫
 #align inner_product_space.core.norm_sq InnerProductSpace.Core.normSq
+-/
 
 -- mathport name: exprnorm_sqF
 local notation "norm_sqF" => @normSq 𝕜 F _ _ _ _
 
+/- warning: inner_product_space.core.inner_conj_symm -> InnerProductSpace.Core.inner_conj_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u1} 𝕜 (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 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(NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symmₓ'. -/
 theorem inner_conj_symm (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
   c.conj_symm x y
 #align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symm
 
+/- warning: inner_product_space.core.inner_self_nonneg -> InnerProductSpace.Core.inner_self_nonneg is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, LE.le.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instLEReal (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instZeroReal)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonnegₓ'. -/
 theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
 #align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonneg
 
+/- warning: inner_product_space.core.inner_self_im -> InnerProductSpace.Core.inner_self_im is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.im.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.im.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instZeroReal))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_imₓ'. -/
 theorem inner_self_im (x : F) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
 #align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_im
 
+/- warning: inner_product_space.core.inner_add_left -> InnerProductSpace.Core.inner_add_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HAdd.hAdd.{u2, u2, u2} F F F (instHAdd.{u2} F (AddZeroClass.toHasAdd.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))))) x y) z) (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y z))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))))) x y) z) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y z))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_add_left InnerProductSpace.Core.inner_add_leftₓ'. -/
 theorem inner_add_left (x y z : F) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   c.add_left _ _ _
 #align inner_product_space.core.inner_add_left InnerProductSpace.Core.inner_add_left
 
+/- warning: inner_product_space.core.inner_add_right -> InnerProductSpace.Core.inner_add_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (HAdd.hAdd.{u2, u2, u2} F F F (instHAdd.{u2} F (AddZeroClass.toHasAdd.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))))) y z)) (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))))) y z)) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_add_right InnerProductSpace.Core.inner_add_rightₓ'. -/
 theorem inner_add_right (x y z : F) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add] <;> simp only [inner_conj_symm]
 #align inner_product_space.core.inner_add_right InnerProductSpace.Core.inner_add_right
 
-theorem coe_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
+/- warning: inner_product_space.core.coe_norm_sq_eq_inner_self -> InnerProductSpace.Core.ofReal_normSq_eq_inner_self is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u1} 𝕜 ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u2} 𝕜 (IsROrC.ofReal.{u2} 𝕜 _inst_1 (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.ofReal_normSq_eq_inner_selfₓ'. -/
+theorem ofReal_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
   by
   rw [ext_iff]
   exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_im, of_real_im]⟩
-#align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.coe_normSq_eq_inner_self
-
+#align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.ofReal_normSq_eq_inner_self
+
+/- warning: inner_product_space.core.inner_re_symm -> InnerProductSpace.Core.inner_re_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symmₓ'. -/
 theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symm
 
+/- warning: inner_product_space.core.inner_im_symm -> InnerProductSpace.Core.inner_im_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.im.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Neg.neg.{0} Real Real.hasNeg (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.im.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 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(Neg.neg.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) Real.instNegReal (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.im.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symmₓ'. -/
 theorem inner_im_symm (x y : F) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symm
 
+/- warning: inner_product_space.core.inner_smul_left -> InnerProductSpace.Core.inner_smul_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) {r : 𝕜}, Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2) _inst_3)))) r x) y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) r) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) {r : 𝕜}, Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (NormedField.toNormedCommRing.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) _inst_1))))))))) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) r) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_leftₓ'. -/
 theorem inner_smul_left (x y : F) {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   c.smul_left _ _ _
 #align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_left
 
+/- warning: inner_product_space.core.inner_smul_right -> InnerProductSpace.Core.inner_smul_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) {r : 𝕜}, Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2) _inst_3)))) r y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) r (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) {r : 𝕜}, Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) r y)) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) r (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_smul_right InnerProductSpace.Core.inner_smul_rightₓ'. -/
 theorem inner_smul_right (x y : F) {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left] <;>
     simp only [conj_conj, inner_conj_symm, RingHom.map_mul]
 #align inner_product_space.core.inner_smul_right InnerProductSpace.Core.inner_smul_right
 
+/- warning: inner_product_space.core.inner_zero_left -> InnerProductSpace.Core.inner_zero_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) (OfNat.ofNat.{u2} F 0 (OfNat.mk.{u2} F 0 (Zero.zero.{u2} F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))))))) x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_zero_left InnerProductSpace.Core.inner_zero_leftₓ'. -/
 theorem inner_zero_left (x : F) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;>
     simp only [MulZeroClass.zero_mul, RingHom.map_zero]
 #align inner_product_space.core.inner_zero_left InnerProductSpace.Core.inner_zero_left
 
+/- warning: inner_product_space.core.inner_zero_right -> InnerProductSpace.Core.inner_zero_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (OfNat.ofNat.{u2} F 0 (OfNat.mk.{u2} F 0 (Zero.zero.{u2} F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2))))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2)))))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_zero_right InnerProductSpace.Core.inner_zero_rightₓ'. -/
 theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left] <;> simp only [RingHom.map_zero]
 #align inner_product_space.core.inner_zero_right InnerProductSpace.Core.inner_zero_right
 
+/- warning: inner_product_space.core.inner_self_eq_zero -> InnerProductSpace.Core.inner_self_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Eq.{succ u2} F x (OfNat.ofNat.{u2} F 0 (OfNat.mk.{u2} F 0 (Zero.zero.{u2} F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Eq.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zeroₓ'. -/
 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
   ⟨c.definite _, by
     rintro rfl
     exact inner_zero_left _⟩
 #align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zero
 
+/- warning: inner_product_space.core.norm_sq_eq_zero -> InnerProductSpace.Core.normSq_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Eq.{1} Real (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (Eq.{succ u2} F x (OfNat.ofNat.{u2} F 0 (OfNat.mk.{u2} F 0 (Zero.zero.{u2} F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instZeroReal))) (Eq.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.norm_sq_eq_zero InnerProductSpace.Core.normSq_eq_zeroₓ'. -/
 theorem normSq_eq_zero {x : F} : norm_sqF x = 0 ↔ x = 0 :=
   Iff.trans
     (by simp only [norm_sq, ext_iff, map_zero, inner_self_im, eq_self_iff_true, and_true_iff])
     (@inner_self_eq_zero 𝕜 _ _ _ _ _ x)
 #align inner_product_space.core.norm_sq_eq_zero InnerProductSpace.Core.normSq_eq_zero
 
+/- warning: inner_product_space.core.inner_self_ne_zero -> InnerProductSpace.Core.inner_self_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Ne.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Ne.{succ u2} F x (OfNat.ofNat.{u2} F 0 (OfNat.mk.{u2} F 0 (Zero.zero.{u2} F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] {x : F}, Iff (Ne.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zeroₓ'. -/
 theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zero
 
-theorem inner_self_re_to_K (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
+/- warning: inner_product_space.core.inner_self_re_to_K -> InnerProductSpace.Core.inner_self_ofReal_re is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u1} 𝕜 ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{succ u2} 𝕜 (IsROrC.ofReal.{u2} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_reₓ'. -/
+theorem inner_self_ofReal_re (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_im]
-#align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_re_to_K
-
+#align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_re
+
+/- warning: inner_product_space.core.norm_inner_symm -> InnerProductSpace.Core.norm_inner_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.norm_inner_symm InnerProductSpace.Core.norm_inner_symmₓ'. -/
 theorem norm_inner_symm (x y : F) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align inner_product_space.core.norm_inner_symm InnerProductSpace.Core.norm_inner_symm
 
+/- warning: inner_product_space.core.inner_neg_left -> InnerProductSpace.Core.inner_neg_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) (Neg.neg.{u2} F (SubNegMonoid.toHasNeg.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2))) x) y) (Neg.neg.{u1} 𝕜 (SubNegMonoid.toHasNeg.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) x) y) (Neg.neg.{u2} 𝕜 (Ring.toNeg.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_leftₓ'. -/
 theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   by
   rw [← neg_one_smul 𝕜 x, inner_smul_left]
   simp
 #align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_left
 
+/- warning: inner_product_space.core.inner_neg_right -> InnerProductSpace.Core.inner_neg_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (Neg.neg.{u2} F (SubNegMonoid.toHasNeg.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2))) y)) (Neg.neg.{u1} 𝕜 (SubNegMonoid.toHasNeg.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) y)) (Neg.neg.{u2} 𝕜 (Ring.toNeg.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_neg_right InnerProductSpace.Core.inner_neg_rightₓ'. -/
 theorem inner_neg_right (x y : F) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_product_space.core.inner_neg_right InnerProductSpace.Core.inner_neg_right
 
+/- warning: inner_product_space.core.inner_sub_left -> InnerProductSpace.Core.inner_sub_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toHasSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))) x y) z) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y z))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) x y) z) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y z))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_sub_left InnerProductSpace.Core.inner_sub_leftₓ'. -/
 theorem inner_sub_left (x y z : F) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left, inner_neg_left]
 #align inner_product_space.core.inner_sub_left InnerProductSpace.Core.inner_sub_left
 
+/- warning: inner_product_space.core.inner_sub_right -> InnerProductSpace.Core.inner_sub_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toHasSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))) y z)) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F) (z : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) y z)) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x z))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_rightₓ'. -/
 theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right, inner_neg_right]
 #align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_right
 
+/- warning: inner_product_space.core.inner_mul_symm_re_eq_norm -> InnerProductSpace.Core.inner_mul_symm_re_eq_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 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(NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_normₓ'. -/
 theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
   by
   rw [← inner_conj_symm, mul_comm]
   exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_norm
 
+/- warning: inner_product_space.core.inner_add_add_self -> InnerProductSpace.Core.inner_add_add_self is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))))) x y) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))))) x y)) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_add_add_self InnerProductSpace.Core.inner_add_add_selfₓ'. -/
 /-- Expand `inner (x + y) (x + y)` -/
 theorem inner_add_add_self (x y : F) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_product_space.core.inner_add_add_self InnerProductSpace.Core.inner_add_add_self
 
+/- warning: inner_product_space.core.inner_sub_sub_self -> InnerProductSpace.Core.inner_sub_sub_self is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toHasSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))) x y) (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toHasSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))) x y)) (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) x y) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) x y)) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x)) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_selfₓ'. -/
 -- Expand `inner (x - y) (x - y)`
 theorem inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_self
 
+/- warning: inner_product_space.core.cauchy_schwarz_aux -> InnerProductSpace.Core.cauchy_schwarz_aux is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} Real (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toHasSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_2)))) (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2) _inst_3)))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2) _inst_3)))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c y)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)))) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y))) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_2)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 F F (instHSMul.{u2, u1} 𝕜 F (SMulZeroClass.toSMul.{u2, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 F (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2) _inst_3))))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x) y)))) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instMulReal) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instSubReal) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instMulReal) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x) (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c y)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_auxₓ'. -/
 /-- An auxiliary equality useful to prove the **Cauchy–Schwarz inequality**: the square of the norm
 of `⟪x, y⟫ • x - ⟪x, x⟫ • y` is equal to `‖x‖ ^ 2 * (‖x‖ ^ 2 * ‖y‖ ^ 2 - ‖⟪x, y⟫‖ ^ 2)`. We use
 `inner_product_space.of_core.norm_sq x` etc (defeq to `is_R_or_C.re ⟪x, x⟫`) instead of `‖x‖ ^ 2`
@@ -326,6 +488,12 @@ theorem cauchy_schwarz_aux (x y : F) :
   ring
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
 
+/- warning: inner_product_space.core.inner_mul_inner_self_le -> InnerProductSpace.Core.inner_mul_inner_self_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), LE.le.{0} Real Real.hasLe (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), LE.le.{0} Real Real.instLEReal (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y x))) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) Real.instMulReal) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y y)))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_leₓ'. -/
 /-- **Cauchy–Schwarz inequality**.
 We need this for the `core` structure to prove the triangle inequality below when
 showing the core is a normed group.
@@ -340,25 +508,51 @@ theorem inner_mul_inner_self_le (x y : F) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖
     exact inner_self_nonneg
 #align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_le
 
+#print InnerProductSpace.Core.toNorm /-
 /-- Norm constructed from a `inner_product_space.core` structure, defined to be the square root
 of the scalar product. -/
-def toHasNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
-#align inner_product_space.core.to_has_norm InnerProductSpace.Core.toHasNorm
+def toNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
+#align inner_product_space.core.to_has_norm InnerProductSpace.Core.toNorm
+-/
 
 attribute [local instance] to_has_norm
 
+/- warning: inner_product_space.core.norm_eq_sqrt_inner -> InnerProductSpace.Core.norm_eq_sqrt_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} Real (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Real.sqrt (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} Real (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Real.sqrt (FunLike.coe.{succ u1, succ u1, 1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_innerₓ'. -/
 theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   rfl
 #align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_inner
 
+/- warning: inner_product_space.core.inner_self_eq_norm_mul_norm -> InnerProductSpace.Core.inner_self_eq_norm_mul_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_normₓ'. -/
 theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
 #align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_norm
 
+/- warning: inner_product_space.core.sqrt_norm_sq_eq_norm -> InnerProductSpace.Core.sqrt_normSq_eq_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} Real (Real.sqrt (InnerProductSpace.Core.normSq.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c x)) (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F), Eq.{1} Real (Real.sqrt (InnerProductSpace.Core.normSq.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c x)) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x)
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_normₓ'. -/
 theorem sqrt_normSq_eq_norm (x : F) : sqrt (norm_sqF x) = ‖x‖ :=
   rfl
 #align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_norm
 
+/- warning: inner_product_space.core.norm_inner_le_norm -> InnerProductSpace.Core.norm_inner_le_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {F : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} F] [_inst_3 : Module.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_2)] [c : InnerProductSpace.Core.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), LE.le.{0} Real Real.hasLe (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 F (InnerProductSpace.Core.toInner'.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Norm.norm.{u2} F (InnerProductSpace.Core.toNorm.{u1, u2} 𝕜 F _inst_1 _inst_2 _inst_3 c) y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {F : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} F] [_inst_3 : Module.{u2, u1} 𝕜 F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} F _inst_2)] [c : InnerProductSpace.Core.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3] (x : F) (y : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 F (InnerProductSpace.Core.toInner'.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) x) (Norm.norm.{u1} F (InnerProductSpace.Core.toNorm.{u2, u1} 𝕜 F _inst_1 _inst_2 _inst_3 c) y))
+Case conversion may be inaccurate. Consider using '#align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_normₓ'. -/
 /-- Cauchy–Schwarz inequality with norm -/
 theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) <|
@@ -369,6 +563,7 @@ theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
       
 #align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_norm
 
+#print InnerProductSpace.Core.toNormedAddCommGroup /-
 /-- Normed group structure constructed from an `inner_product_space.core` structure -/
 def toNormedAddCommGroup : NormedAddCommGroup F :=
   AddGroupNorm.toNormedAddCommGroup
@@ -389,9 +584,11 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
       eq_zero_of_map_eq_zero' := fun x hx =>
         normSq_eq_zero.1 <| (sqrt_eq_zero inner_self_nonneg).1 hx }
 #align inner_product_space.core.to_normed_add_comm_group InnerProductSpace.Core.toNormedAddCommGroup
+-/
 
 attribute [local instance] to_normed_add_comm_group
 
+#print InnerProductSpace.Core.toNormedSpace /-
 /-- Normed space structure constructed from a `inner_product_space.core` structure -/
 def toNormedSpace : NormedSpace 𝕜 F
     where norm_smul_le r x :=
@@ -401,6 +598,7 @@ def toNormedSpace : NormedSpace 𝕜 F
     · simp [sqrt_norm_sq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
     · exact norm_sq_nonneg r
 #align inner_product_space.core.to_normed_space InnerProductSpace.Core.toNormedSpace
+-/
 
 end InnerProductSpace.Core
 
@@ -408,6 +606,7 @@ section
 
 attribute [local instance] InnerProductSpace.Core.toNormedAddCommGroup
 
+#print InnerProductSpace.ofCore /-
 /-- Given a `inner_product_space.core` structure on a space, one can use it to turn
 the space into an inner product space. The `normed_add_comm_group` structure is expected
 to already be defined with `inner_product_space.of_core.to_normed_add_comm_group`. -/
@@ -421,6 +620,7 @@ def InnerProductSpace.ofCore [AddCommGroup F] [Module 𝕜 F] (c : InnerProductS
       have h₂ : 0 ≤ re (c.inner x x) := InnerProductSpace.Core.inner_self_nonneg
       simp [h₁, sq_sqrt, h₂] }
 #align inner_product_space.of_core InnerProductSpace.ofCore
+-/
 
 end
 
@@ -446,69 +646,150 @@ export InnerProductSpace (norm_sq_eq_inner)
 
 section BasicProperties
 
+/- warning: inner_conj_symm -> inner_conj_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+but is expected to have type
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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+Case conversion may be inaccurate. Consider using '#align inner_conj_symm inner_conj_symmₓ'. -/
 @[simp]
 theorem inner_conj_symm (x y : E) : ⟪y, x⟫† = ⟪x, y⟫ :=
   InnerProductSpace.conj_symm _ _
 #align inner_conj_symm inner_conj_symm
 
+#print real_inner_comm /-
 theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
   @inner_conj_symm ℝ _ _ _ _ x y
 #align real_inner_comm real_inner_comm
+-/
 
+/- warning: inner_eq_zero_symm -> inner_eq_zero_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_eq_zero_symm inner_eq_zero_symmₓ'. -/
 theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
   by
   rw [← inner_conj_symm]
   exact star_eq_zero
 #align inner_eq_zero_symm inner_eq_zero_symm
 
+/- warning: inner_self_im -> inner_self_im is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_self_im inner_self_imₓ'. -/
 @[simp]
 theorem inner_self_im (x : E) : im ⟪x, x⟫ = 0 := by rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
 #align inner_self_im inner_self_im
 
+/- warning: inner_add_left -> inner_add_left is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_add_left inner_add_leftₓ'. -/
 theorem inner_add_left (x y z : E) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   InnerProductSpace.add_left _ _ _
 #align inner_add_left inner_add_left
 
+/- warning: inner_add_right -> inner_add_right is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_add_right inner_add_rightₓ'. -/
 theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ :=
   by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add]
   simp only [inner_conj_symm]
 #align inner_add_right inner_add_right
 
+/- warning: inner_re_symm -> inner_re_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x))
+Case conversion may be inaccurate. Consider using '#align inner_re_symm inner_re_symmₓ'. -/
 theorem inner_re_symm (x y : E) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_re_symm inner_re_symm
 
+/- warning: inner_im_symm -> inner_im_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.im.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (Neg.neg.{0} Real Real.hasNeg (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.im.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} 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(AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.im.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (Neg.neg.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x)) Real.instNegReal (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.im.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x)))
+Case conversion may be inaccurate. Consider using '#align inner_im_symm inner_im_symmₓ'. -/
 theorem inner_im_symm (x y : E) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_im_symm inner_im_symm
 
+/- warning: inner_smul_left -> inner_smul_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : 𝕜), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r x) y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) r) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : 𝕜), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x) y) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (NonUnitalNonAssocRing.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (NonAssocRing.toNonUnitalNonAssocRing.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (Ring.toNonAssocRing.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (NormedRing.toRing.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (NormedCommRing.toNormedRing.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (NormedField.toNormedCommRing.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) r) _inst_1))))))))) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) r) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align inner_smul_left inner_smul_leftₓ'. -/
 theorem inner_smul_left (x y : E) (r : 𝕜) : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   InnerProductSpace.smul_left _ _ _
 #align inner_smul_left inner_smul_left
 
+/- warning: real_inner_smul_left -> real_inner_smul_left is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x) y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x) y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))
+Case conversion may be inaccurate. Consider using '#align real_inner_smul_left real_inner_smul_leftₓ'. -/
 theorem real_inner_smul_left (x y : F) (r : ℝ) : ⟪r • x, y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
   inner_smul_left _ _ _
 #align real_inner_smul_left real_inner_smul_left
 
+/- warning: inner_smul_real_left -> inner_smul_real_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : Real), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) r) x) y) (SMul.smul.{0, u1} Real 𝕜 (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) r (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : Real), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 r) x) y) (HSMul.hSMul.{0, u2, u2} Real 𝕜 𝕜 (instHSMul.{0, u2} Real 𝕜 (Algebra.toSMul.{0, u2} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u2} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u2} 𝕜 _inst_1)))) r (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align inner_smul_real_left inner_smul_real_leftₓ'. -/
 theorem inner_smul_real_left (x y : E) (r : ℝ) : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ :=
   by
   rw [inner_smul_left, conj_of_real, Algebra.smul_def]
   rfl
 #align inner_smul_real_left inner_smul_real_left
 
+/- warning: inner_smul_right -> inner_smul_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : 𝕜), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) r (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : 𝕜), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r y)) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) r (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align inner_smul_right inner_smul_rightₓ'. -/
 theorem inner_smul_right (x y : E) (r : 𝕜) : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left, RingHom.map_mul, conj_conj, inner_conj_symm]
 #align inner_smul_right inner_smul_right
 
+/- warning: real_inner_smul_right -> real_inner_smul_right is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))
+Case conversion may be inaccurate. Consider using '#align real_inner_smul_right real_inner_smul_rightₓ'. -/
 theorem real_inner_smul_right (x y : F) (r : ℝ) : ⟪x, r • y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
   inner_smul_right _ _ _
 #align real_inner_smul_right real_inner_smul_right
 
+/- warning: inner_smul_real_right -> inner_smul_real_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : Real), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) r) y)) (SMul.smul.{0, u1} Real 𝕜 (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) r (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (r : Real), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 r) y)) (HSMul.hSMul.{0, u2, u2} Real 𝕜 𝕜 (instHSMul.{0, u2} Real 𝕜 (Algebra.toSMul.{0, u2} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u2} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u2} 𝕜 _inst_1)))) r (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align inner_smul_real_right inner_smul_real_rightₓ'. -/
 theorem inner_smul_real_right (x y : E) (r : ℝ) : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ :=
   by
   rw [inner_smul_right, Algebra.smul_def]
   rfl
 #align inner_smul_real_right inner_smul_real_right
 
+#print sesqFormOfInner /-
 /-- The inner product as a sesquilinear form.
 
 Note that in the case `𝕜 = ℝ` this is a bilinear form. -/
@@ -518,7 +799,9 @@ def sesqFormOfInner : E →ₗ[𝕜] E →ₗ⋆[𝕜] 𝕜 :=
     (fun x y z => inner_add_right _ _ _) (fun r x y => inner_smul_right _ _ _)
     (fun x y z => inner_add_left _ _ _) fun r x y => inner_smul_left _ _ _
 #align sesq_form_of_inner sesqFormOfInner
+-/
 
+#print bilinFormOfRealInner /-
 /-- The real inner product as a bilinear form. -/
 @[simps]
 def bilinFormOfRealInner : BilinForm ℝ F
@@ -529,19 +812,38 @@ def bilinFormOfRealInner : BilinForm ℝ F
   bilin_add_right := inner_add_right
   bilin_smul_right a x y := inner_smul_right _ _ _
 #align bilin_form_of_real_inner bilinFormOfRealInner
+-/
 
+/- warning: sum_inner -> sum_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> E) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => f i)) x) (Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (i : ι) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (f i) x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> E) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u1, u3} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) s (fun (i : ι) => f i)) x) (Finset.sum.{u2, u3} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) s (fun (i : ι) => Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (f i) x))
+Case conversion may be inaccurate. Consider using '#align sum_inner sum_innerₓ'. -/
 /-- An inner product with a sum on the left. -/
 theorem sum_inner {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪∑ i in s, f i, x⟫ = ∑ i in s, ⟪f i, x⟫ :=
   (sesqFormOfInner x).map_sum
 #align sum_inner sum_inner
 
+/- warning: inner_sum -> inner_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> E) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => f i))) (Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (i : ι) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (f i)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> E) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (Finset.sum.{u1, u3} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) s (fun (i : ι) => f i))) (Finset.sum.{u2, u3} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) s (fun (i : ι) => Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (f i)))
+Case conversion may be inaccurate. Consider using '#align inner_sum inner_sumₓ'. -/
 /-- An inner product with a sum on the right. -/
 theorem inner_sum {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪x, ∑ i in s, f i⟫ = ∑ i in s, ⟪x, f i⟫ :=
   (LinearMap.flip sesqFormOfInner x).map_sum
 #align inner_sum inner_sum
 
+/- warning: finsupp.sum_inner -> Finsupp.sum_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (l : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (v : ι -> E) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finsupp.sum.{u3, u1, u2} ι 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) a) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (l : Finsupp.{u3, u2} ι 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (v : ι -> E) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Finsupp.sum.{u3, u2, u1} ι 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) l (fun (i : ι) (a : 𝕜) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) a (v i))) x) (Finsupp.sum.{u3, u2, u2} ι 𝕜 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) l (fun (i : ι) (a : 𝕜) => HSMul.hSMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 𝕜 (instHSMul.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 (Algebra.toSMul.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 (Semifield.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (Field.toSemifield.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (NormedField.toField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) 𝕜 (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) _inst_1)) (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (NormedAlgebra.id.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (DenselyNormedField.toNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (IsROrC.toDenselyNormedField.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) _inst_1)))))) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) a) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)))
+Case conversion may be inaccurate. Consider using '#align finsupp.sum_inner Finsupp.sum_innerₓ'. -/
 /-- An inner product with a sum on the left, `finsupp` version. -/
 theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪l.Sum fun (i : ι) (a : 𝕜) => a • v i, x⟫ = l.Sum fun (i : ι) (a : 𝕜) => conj a • ⟪v i, x⟫ :=
@@ -550,6 +852,12 @@ theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   simp only [inner_smul_left, Finsupp.sum, smul_eq_mul]
 #align finsupp.sum_inner Finsupp.sum_inner
 
+/- warning: finsupp.inner_sum -> Finsupp.inner_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (l : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (v : ι -> E) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (Finsupp.sum.{u3, u1, u2} ι 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) l (fun (i : ι) (a : 𝕜) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) a (v i)))) (Finsupp.sum.{u3, u1, u1} ι 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) l (fun (i : ι) (a : 𝕜) => SMul.smul.{u1, u1} 𝕜 𝕜 (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) a (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (v i))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (l : Finsupp.{u3, u2} ι 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (v : ι -> E) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (Finsupp.sum.{u3, u2, u1} ι 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) l (fun (i : ι) (a : 𝕜) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) a (v i)))) (Finsupp.sum.{u3, u2, u2} ι 𝕜 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) l (fun (i : ι) (a : 𝕜) => HSMul.hSMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSMul.{u2, u2} 𝕜 𝕜 (Algebra.toSMul.{u2, u2} 𝕜 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (NormedAlgebra.id.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) a (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (v i))))
+Case conversion may be inaccurate. Consider using '#align finsupp.inner_sum Finsupp.inner_sumₓ'. -/
 /-- An inner product with a sum on the right, `finsupp` version. -/
 theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪x, l.Sum fun (i : ι) (a : 𝕜) => a • v i⟫ = l.Sum fun (i : ι) (a : 𝕜) => a • ⟪x, v i⟫ :=
@@ -558,91 +866,205 @@ theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   simp only [inner_smul_right, Finsupp.sum, smul_eq_mul]
 #align finsupp.inner_sum Finsupp.inner_sum
 
+/- warning: dfinsupp.sum_inner -> Dfinsupp.sum_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec : DecidableEq.{succ u3} ι] {α : ι -> Type.{u4}} [_inst_6 : forall (i : ι), AddZeroClass.{u4} (α i)] [_inst_7 : forall (i : ι) (x : α i), Decidable (Ne.{succ u4} (α i) x (OfNat.ofNat.{u4} (α i) 0 (OfNat.mk.{u4} (α i) 0 (Zero.zero.{u4} (α i) (AddZeroClass.toHasZero.{u4} (α i) (_inst_6 i))))))] (f : forall (i : ι), (α i) -> E) (l : Dfinsupp.{u3, u4} ι (fun (i : ι) => α i) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => α i) i) (_inst_6 i))) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Dfinsupp.sum.{u3, u4, u2} ι E (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) l f) x) (Dfinsupp.sum.{u3, u4, u1} ι 𝕜 (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) l (fun (i : ι) (a : α i) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (f i a) x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [dec : DecidableEq.{succ u4} ι] {α : ι -> Type.{u3}} [_inst_6 : forall (i : ι), AddZeroClass.{u3} (α i)] [_inst_7 : forall (i : ι) (x : α i), Decidable (Ne.{succ u3} (α i) x (OfNat.ofNat.{u3} (α i) 0 (Zero.toOfNat0.{u3} (α i) (AddZeroClass.toZero.{u3} (α i) (_inst_6 i)))))] (f : forall (i : ι), (α i) -> E) (l : Dfinsupp.{u4, u3} ι (fun (i : ι) => α i) (fun (i : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => α i) i) (_inst_6 i))) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Dfinsupp.sum.{u4, u3, u1} ι E (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) l f) x) (Dfinsupp.sum.{u4, u3, u2} ι 𝕜 (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) l (fun (i : ι) (a : α i) => Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (f i a) x))
+Case conversion may be inaccurate. Consider using '#align dfinsupp.sum_inner Dfinsupp.sum_innerₓ'. -/
 theorem Dfinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.Sum f, x⟫ = l.Sum fun i a => ⟪f i a, x⟫ := by
   simp (config := { contextual := true }) only [Dfinsupp.sum, sum_inner, smul_eq_mul]
 #align dfinsupp.sum_inner Dfinsupp.sum_inner
 
+/- warning: dfinsupp.inner_sum -> Dfinsupp.inner_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec : DecidableEq.{succ u3} ι] {α : ι -> Type.{u4}} [_inst_6 : forall (i : ι), AddZeroClass.{u4} (α i)] [_inst_7 : forall (i : ι) (x : α i), Decidable (Ne.{succ u4} (α i) x (OfNat.ofNat.{u4} (α i) 0 (OfNat.mk.{u4} (α i) 0 (Zero.zero.{u4} (α i) (AddZeroClass.toHasZero.{u4} (α i) (_inst_6 i))))))] (f : forall (i : ι), (α i) -> E) (l : Dfinsupp.{u3, u4} ι (fun (i : ι) => α i) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => α i) i) (_inst_6 i))) (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (Dfinsupp.sum.{u3, u4, u2} ι E (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) l f)) (Dfinsupp.sum.{u3, u4, u1} ι 𝕜 (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) l (fun (i : ι) (a : α i) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (f i a)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [dec : DecidableEq.{succ u4} ι] {α : ι -> Type.{u3}} [_inst_6 : forall (i : ι), AddZeroClass.{u3} (α i)] [_inst_7 : forall (i : ι) (x : α i), Decidable (Ne.{succ u3} (α i) x (OfNat.ofNat.{u3} (α i) 0 (Zero.toOfNat0.{u3} (α i) (AddZeroClass.toZero.{u3} (α i) (_inst_6 i)))))] (f : forall (i : ι), (α i) -> E) (l : Dfinsupp.{u4, u3} ι (fun (i : ι) => α i) (fun (i : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => α i) i) (_inst_6 i))) (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (Dfinsupp.sum.{u4, u3, u1} ι E (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) l f)) (Dfinsupp.sum.{u4, u3, u2} ι 𝕜 (fun (i : ι) => α i) (fun (a : ι) (b : ι) => dec a b) (fun (i : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => α i) i) (_inst_6 i)) (fun (i : ι) (x : α i) => _inst_7 i x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) l (fun (i : ι) (a : α i) => Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (f i a)))
+Case conversion may be inaccurate. Consider using '#align dfinsupp.inner_sum Dfinsupp.inner_sumₓ'. -/
 theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.Sum f⟫ = l.Sum fun i a => ⟪x, f i a⟫ := by
   simp (config := { contextual := true }) only [Dfinsupp.sum, inner_sum, smul_eq_mul]
 #align dfinsupp.inner_sum Dfinsupp.inner_sum
 
+/- warning: inner_zero_left -> inner_zero_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))) x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))) x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align inner_zero_left inner_zero_leftₓ'. -/
 @[simp]
 theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, MulZeroClass.zero_mul]
 #align inner_zero_left inner_zero_left
 
+/- warning: inner_re_zero_left -> inner_re_zero_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))) x)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))
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+Case conversion may be inaccurate. Consider using '#align inner_re_zero_left inner_re_zero_leftₓ'. -/
 theorem inner_re_zero_left (x : E) : re ⟪0, x⟫ = 0 := by
   simp only [inner_zero_left, AddMonoidHom.map_zero]
 #align inner_re_zero_left inner_re_zero_left
 
+/- warning: inner_zero_right -> inner_zero_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align inner_zero_right inner_zero_rightₓ'. -/
 @[simp]
 theorem inner_zero_right (x : E) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left, RingHom.map_zero]
 #align inner_zero_right inner_zero_right
 
+/- warning: inner_re_zero_right -> inner_re_zero_right is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_re_zero_right inner_re_zero_rightₓ'. -/
 theorem inner_re_zero_right (x : E) : re ⟪x, 0⟫ = 0 := by
   simp only [inner_zero_right, AddMonoidHom.map_zero]
 #align inner_re_zero_right inner_re_zero_right
 
+/- warning: inner_self_nonneg -> inner_self_nonneg is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E}, LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E}, LE.le.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) Real.instLEReal (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) Real.instZeroReal)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x))
+Case conversion may be inaccurate. Consider using '#align inner_self_nonneg inner_self_nonnegₓ'. -/
 theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ :=
   InnerProductSpace.toCore.nonneg_re x
 #align inner_self_nonneg inner_self_nonneg
 
+/- warning: real_inner_self_nonneg -> real_inner_self_nonneg is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F}, LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x)
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F}, LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x)
+Case conversion may be inaccurate. Consider using '#align real_inner_self_nonneg real_inner_self_nonnegₓ'. -/
 theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
   @inner_self_nonneg ℝ F _ _ _ x
 #align real_inner_self_nonneg real_inner_self_nonneg
 
+/- warning: inner_self_re_to_K -> inner_self_ofReal_re is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u1} 𝕜 ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} 𝕜 (IsROrC.ofReal.{u2} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
+Case conversion may be inaccurate. Consider using '#align inner_self_re_to_K inner_self_ofReal_reₓ'. -/
 @[simp]
-theorem inner_self_re_to_K (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
+theorem inner_self_ofReal_re (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
   ((IsROrC.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
-#align inner_self_re_to_K inner_self_re_to_K
-
+#align inner_self_re_to_K inner_self_ofReal_re
+
+/- warning: inner_self_eq_norm_sq_to_K -> inner_self_eq_norm_sq_to_K is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x) (HPow.hPow.{u2, 0, u2} 𝕜 Nat 𝕜 (instHPow.{u2, 0} 𝕜 Nat (Monoid.Pow.{u2} 𝕜 (MonoidWithZero.toMonoid.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))
+Case conversion may be inaccurate. Consider using '#align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_Kₓ'. -/
 theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) := by
-  rw [← inner_self_re_to_K, ← norm_sq_eq_inner, of_real_pow]
+  rw [← inner_self_ofReal_re, ← norm_sq_eq_inner, of_real_pow]
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
 
+/- warning: inner_self_re_eq_norm -> inner_self_re_eq_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x))
+Case conversion may be inaccurate. Consider using '#align inner_self_re_eq_norm inner_self_re_eq_normₓ'. -/
 theorem inner_self_re_eq_norm (x : E) : re ⟪x, x⟫ = ‖⟪x, x⟫‖ :=
   by
-  conv_rhs => rw [← inner_self_re_to_K]
+  conv_rhs => rw [← inner_self_ofReal_re]
   symm
   exact norm_of_nonneg inner_self_nonneg
 #align inner_self_re_eq_norm inner_self_re_eq_norm
 
-theorem inner_self_norm_to_K (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ :=
+/- warning: inner_self_norm_to_K -> inner_self_ofReal_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u1} 𝕜 ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} 𝕜 (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
+Case conversion may be inaccurate. Consider using '#align inner_self_norm_to_K inner_self_ofReal_normₓ'. -/
+theorem inner_self_ofReal_norm (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ :=
   by
   rw [← inner_self_re_eq_norm]
-  exact inner_self_re_to_K _
-#align inner_self_norm_to_K inner_self_norm_to_K
-
+  exact inner_self_ofReal_re _
+#align inner_self_norm_to_K inner_self_ofReal_norm
+
+/- warning: real_inner_self_abs -> real_inner_self_abs is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x)
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x)
+Case conversion may be inaccurate. Consider using '#align real_inner_self_abs real_inner_self_absₓ'. -/
 theorem real_inner_self_abs (x : F) : |⟪x, x⟫_ℝ| = ⟪x, x⟫_ℝ :=
-  @inner_self_norm_to_K ℝ F _ _ _ x
+  @inner_self_ofReal_norm ℝ F _ _ _ x
 #align real_inner_self_abs real_inner_self_abs
 
+/- warning: inner_self_eq_zero -> inner_self_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E}, Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E}, Iff (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align inner_self_eq_zero inner_self_eq_zeroₓ'. -/
 @[simp]
 theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 := by
   rw [inner_self_eq_norm_sq_to_K, sq_eq_zero_iff, of_real_eq_zero, norm_eq_zero]
 #align inner_self_eq_zero inner_self_eq_zero
 
+/- warning: inner_self_ne_zero -> inner_self_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E}, Iff (Ne.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E}, Iff (Ne.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align inner_self_ne_zero inner_self_ne_zeroₓ'. -/
 theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_self_ne_zero inner_self_ne_zero
 
+/- warning: inner_self_nonpos -> inner_self_nonpos is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E}, Iff (LE.le.{0} Real Real.hasLe (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E}, Iff (LE.le.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) Real.instZeroReal))) (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align inner_self_nonpos inner_self_nonposₓ'. -/
 @[simp]
 theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 := by
   rw [← norm_sq_eq_inner, (sq_nonneg _).le_iff_eq, sq_eq_zero_iff, norm_eq_zero]
 #align inner_self_nonpos inner_self_nonpos
 
+/- warning: real_inner_self_nonpos -> real_inner_self_nonpos is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F}, Iff (LE.le.{0} Real Real.hasLe (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (Eq.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F}, Iff (LE.le.{0} Real Real.instLEReal (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) (Eq.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))))))
+Case conversion may be inaccurate. Consider using '#align real_inner_self_nonpos real_inner_self_nonposₓ'. -/
 theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
   @inner_self_nonpos ℝ F _ _ _ x
 #align real_inner_self_nonpos real_inner_self_nonpos
 
+/- warning: norm_inner_symm -> norm_inner_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x))
+Case conversion may be inaccurate. Consider using '#align norm_inner_symm norm_inner_symmₓ'. -/
 theorem norm_inner_symm (x y : E) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align norm_inner_symm norm_inner_symm
 
+/- warning: inner_neg_left -> inner_neg_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))) x) y) (Neg.neg.{u1} 𝕜 (SubNegMonoid.toHasNeg.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Neg.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) x) y) (Neg.neg.{u2} 𝕜 (Ring.toNeg.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align inner_neg_left inner_neg_leftₓ'. -/
 @[simp]
 theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   by
@@ -650,38 +1072,86 @@ theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   simp
 #align inner_neg_left inner_neg_left
 
+/- warning: inner_neg_right -> inner_neg_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))) y)) (Neg.neg.{u1} 𝕜 (SubNegMonoid.toHasNeg.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (Neg.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) y)) (Neg.neg.{u2} 𝕜 (Ring.toNeg.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align inner_neg_right inner_neg_rightₓ'. -/
 @[simp]
 theorem inner_neg_right (x y : E) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_neg_right inner_neg_right
 
+/- warning: inner_neg_neg -> inner_neg_neg is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))) x) (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))) y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Neg.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) x) (Neg.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) y)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+Case conversion may be inaccurate. Consider using '#align inner_neg_neg inner_neg_negₓ'. -/
 theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 #align inner_neg_neg inner_neg_neg
 
+/- warning: inner_self_conj -> inner_self_conj is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u1} 𝕜 (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) _x) 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)
+Case conversion may be inaccurate. Consider using '#align inner_self_conj inner_self_conjₓ'. -/
 @[simp]
 theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := by
   rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im, neg_zero]⟩
 #align inner_self_conj inner_self_conj
 
+/- warning: inner_sub_left -> inner_sub_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (z : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y) z) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x z) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y z))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_sub_left inner_sub_leftₓ'. -/
 theorem inner_sub_left (x y z : E) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left]
 #align inner_sub_left inner_sub_left
 
+/- warning: inner_sub_right -> inner_sub_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (z : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) y z)) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x z))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E) (z : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) y z)) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x z))
+Case conversion may be inaccurate. Consider using '#align inner_sub_right inner_sub_rightₓ'. -/
 theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right]
 #align inner_sub_right inner_sub_right
 
+/- warning: inner_mul_symm_re_eq_norm -> inner_mul_symm_re_eq_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x))) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 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(AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) 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(NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x)))
+Case conversion may be inaccurate. Consider using '#align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_normₓ'. -/
 theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
   by
   rw [← inner_conj_symm, mul_comm]
   exact re_eq_norm_of_mul_conj (inner y x)
 #align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_norm
 
+/- warning: inner_add_add_self -> inner_add_add_self is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align inner_add_add_self inner_add_add_selfₓ'. -/
 /-- Expand `⟪x + y, x + y⟫` -/
 theorem inner_add_add_self (x y : E) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_add_add_self inner_add_add_self
 
+/- warning: real_inner_add_add_self -> real_inner_add_add_self is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align real_inner_add_add_self real_inner_add_add_selfₓ'. -/
 /-- Expand `⟪x + y, x + y⟫_ℝ` -/
 theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_ℝ + 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
@@ -690,11 +1160,23 @@ theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_
   ring
 #align real_inner_add_add_self real_inner_add_add_self
 
+/- warning: inner_sub_sub_self -> inner_sub_sub_self is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align inner_sub_sub_self inner_sub_sub_selfₓ'. -/
 -- Expand `⟪x - y, x - y⟫`
 theorem inner_sub_sub_self (x y : E) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_sub_sub_self inner_sub_sub_self
 
+/- warning: real_inner_sub_sub_self -> real_inner_sub_sub_self is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) y y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) y y))
+Case conversion may be inaccurate. Consider using '#align real_inner_sub_sub_self real_inner_sub_sub_selfₓ'. -/
 /-- Expand `⟪x - y, x - y⟫_ℝ` -/
 theorem real_inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫_ℝ = ⟪x, x⟫_ℝ - 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
@@ -707,10 +1189,22 @@ variable (𝕜)
 
 include 𝕜
 
+/- warning: ext_inner_left -> ext_inner_left is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (forall (v : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v x) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v y)) -> (Eq.{succ u2} E x y)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (forall (v : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v x) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v y)) -> (Eq.{succ u1} E x y)
+Case conversion may be inaccurate. Consider using '#align ext_inner_left ext_inner_leftₓ'. -/
 theorem ext_inner_left {x y : E} (h : ∀ v, ⟪v, x⟫ = ⟪v, y⟫) : x = y := by
   rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_right, sub_eq_zero, h (x - y)]
 #align ext_inner_left ext_inner_left
 
+/- warning: ext_inner_right -> ext_inner_right is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (forall (v : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x v) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y v)) -> (Eq.{succ u2} E x y)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (forall (v : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x v) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y v)) -> (Eq.{succ u1} E x y)
+Case conversion may be inaccurate. Consider using '#align ext_inner_right ext_inner_rightₓ'. -/
 theorem ext_inner_right {x y : E} (h : ∀ v, ⟪x, v⟫ = ⟪y, v⟫) : x = y := by
   rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_left, sub_eq_zero, h (x - y)]
 #align ext_inner_right ext_inner_right
@@ -719,17 +1213,35 @@ omit 𝕜
 
 variable {𝕜}
 
+/- warning: parallelogram_law -> parallelogram_law is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align parallelogram_law parallelogram_lawₓ'. -/
 /-- Parallelogram law -/
 theorem parallelogram_law {x y : E} : ⟪x + y, x + y⟫ + ⟪x - y, x - y⟫ = 2 * (⟪x, x⟫ + ⟪y, y⟫) := by
   simp [inner_add_add_self, inner_sub_sub_self, two_mul, sub_eq_add_neg, add_comm, add_left_comm]
 #align parallelogram_law parallelogram_law
 
+/- warning: inner_mul_inner_self_le -> inner_mul_inner_self_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} Real Real.hasLe (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y y)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} Real Real.instLEReal (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x))) (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y y)))
+Case conversion may be inaccurate. Consider using '#align inner_mul_inner_self_le inner_mul_inner_self_leₓ'. -/
 /-- **Cauchy–Schwarz inequality**. -/
 theorem inner_mul_inner_self_le (x y : E) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
   letI c : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
   InnerProductSpace.Core.inner_mul_inner_self_le x y
 #align inner_mul_inner_self_le inner_mul_inner_self_le
 
+/- warning: real_inner_mul_inner_self_le -> real_inner_mul_inner_self_le is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.hasLe (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) y y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.instLEReal (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) y y))
+Case conversion may be inaccurate. Consider using '#align real_inner_mul_inner_self_le real_inner_mul_inner_self_leₓ'. -/
 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   calc
@@ -741,6 +1253,12 @@ theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ
     
 #align real_inner_mul_inner_self_le real_inner_mul_inner_self_le
 
+/- warning: linear_independent_of_ne_zero_of_inner_eq_zero -> linearIndependent_of_ne_zero_of_inner_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (forall (i : ι), Ne.{succ u2} E (v i) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) -> (forall (i : ι) (j : ι), (Ne.{succ u3} ι i j) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (v j)) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))))))) -> (LinearIndependent.{u3, u1, u2} ι 𝕜 E v (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (forall (i : ι), Ne.{succ u2} E (v i) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (forall (i : ι) (j : ι), (Ne.{succ u3} ι i j) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (v j)) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> (LinearIndependent.{u3, u1, u2} ι 𝕜 E v (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align linear_independent_of_ne_zero_of_inner_eq_zero linearIndependent_of_ne_zero_of_inner_eq_zeroₓ'. -/
 /-- A family of vectors is linearly independent if they are nonzero
 and orthogonal. -/
 theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type _} {v : ι → E} (hz : ∀ i, v i ≠ 0)
@@ -768,10 +1286,12 @@ variable {ι : Type _} [dec_ι : DecidableEq ι] (𝕜)
 
 include 𝕜
 
+#print Orthonormal /-
 /-- An orthonormal set of vectors in an `inner_product_space` -/
 def Orthonormal (v : ι → E) : Prop :=
   (∀ i, ‖v i‖ = 1) ∧ ∀ {i j}, i ≠ j → ⟪v i, v j⟫ = 0
 #align orthonormal Orthonormal
+-/
 
 omit 𝕜
 
@@ -779,6 +1299,12 @@ variable {𝕜}
 
 include dec_ι
 
+/- warning: orthonormal_iff_ite -> orthonormal_iff_ite is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {v : ι -> E}, Iff (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) (forall (i : ι) (j : ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (v j)) (ite.{succ u1} 𝕜 (Eq.{succ u3} ι i j) (dec_ι i j) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [dec_ι : DecidableEq.{succ u1} ι] {v : ι -> E}, Iff (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) (forall (i : ι) (j : ι), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (v j)) (ite.{succ u3} 𝕜 (Eq.{succ u1} ι i j) (dec_ι i j) (OfNat.ofNat.{u3} 𝕜 1 (One.toOfNat1.{u3} 𝕜 (Semiring.toOne.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (OfNat.ofNat.{u3} 𝕜 0 (Zero.toOfNat0.{u3} 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))
+Case conversion may be inaccurate. Consider using '#align orthonormal_iff_ite orthonormal_iff_iteₓ'. -/
 /-- `if ... then ... else` characterization of an indexed set of vectors being orthonormal.  (Inner
 product equals Kronecker delta.) -/
 theorem orthonormal_iff_ite {v : ι → E} :
@@ -804,6 +1330,12 @@ omit dec_ι
 
 include dec_E
 
+/- warning: orthonormal_subtype_iff_ite -> orthonormal_subtype_iff_ite is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] [dec_E : DecidableEq.{succ u2} E] {s : Set.{u2} E}, Iff (Orthonormal.{u1, u2, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) E (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) E (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s))))))) (forall (v : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) v s) -> (forall (w : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) w s) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w) (ite.{succ u1} 𝕜 (Eq.{succ u2} E v w) (dec_E v w) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align orthonormal_subtype_iff_ite orthonormal_subtype_iff_iteₓ'. -/
 /-- `if ... then ... else` characterization of a set of vectors being orthonormal.  (Inner product
 equals Kronecker delta.) -/
 theorem orthonormal_subtype_iff_ite {s : Set E} :
@@ -821,6 +1353,12 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
 
 omit dec_E
 
+/- warning: orthonormal.inner_right_finsupp -> Orthonormal.inner_right_finsupp is a dubious translation:
+lean 3 declaration is
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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l)) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (fun (_x : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) => ι -> 𝕜) (Finsupp.coeFun.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) l i))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (i : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (i_1 : ι), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (hv i_1) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) i)) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) ι (fun (a : ι) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) a) (Finsupp.funLike.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) i i_1))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsuppₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
@@ -828,6 +1366,12 @@ theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
   classical simp [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv]
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 
+/- warning: orthonormal.inner_right_sum -> Orthonormal.inner_right_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) {s : Finset.{u3} ι} {i : ι}, (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i)))) (l i)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (s : ι -> 𝕜) {i : Finset.{u1} ι} {hi : ι}, (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) hi i) -> (Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (hv hi) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) i (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} 𝕜 E E (instHSMul.{u3, u2} 𝕜 E (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (s i) (hv i)))) (s hi)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_sum Orthonormal.inner_right_sumₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
@@ -835,6 +1379,12 @@ theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l
   classical simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 
+/- warning: orthonormal.inner_right_fintype -> Orthonormal.inner_right_fintype is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : Fintype.{u3} ι] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) (i : ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finset.univ.{u3} ι _inst_6) (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i)))) (l i))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : DecidableEq.{succ u3} ι] [v : Fintype.{u3} ι] {hv : ι -> E}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (i : ι -> 𝕜) (i_1 : ι), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (hv i_1) (Finset.sum.{u1, u3} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (Finset.univ.{u3} ι v) (fun (i_1 : ι) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (i i_1) (hv i_1)))) (i i_1))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_right_fintype Orthonormal.inner_right_fintypeₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜)
@@ -842,12 +1392,24 @@ theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthon
   hv.inner_right_sum l (Finset.mem_univ _)
 #align orthonormal.inner_right_fintype Orthonormal.inner_right_fintype
 
+/- warning: orthonormal.inner_left_finsupp -> Orthonormal.inner_left_finsupp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (i : ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l) (v i)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (fun (_x : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) => ι -> 𝕜) (Finsupp.coeFun.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) l i)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (i : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (i_1 : ι), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) i) (InnerProductSpace.toInner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) i) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) i) (hv i_1)) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (fun (a : (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) a) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) 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(x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i_1) 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a) (Finsupp.funLike.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) i i_1)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsuppₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
     ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = conj (l i) := by rw [← inner_conj_symm, hv.inner_right_finsupp]
 #align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsupp
 
+/- warning: orthonormal.inner_left_sum -> Orthonormal.inner_left_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) {s : Finset.{u3} ι} {i : ι}, (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i))) (v i)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (l i))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (s : ι -> 𝕜) {i : Finset.{u1} ι} {hi : ι}, (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) hi i) -> (Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) i (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} 𝕜 E E (instHSMul.{u3, u2} 𝕜 E (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (s hi))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_sum Orthonormal.inner_left_sumₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
@@ -856,6 +1418,12 @@ theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l :
       Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 
+/- warning: orthonormal.inner_left_fintype -> Orthonormal.inner_left_fintype is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : Fintype.{u3} ι] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l : ι -> 𝕜) (i : ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finset.univ.{u3} ι _inst_6) (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l i) (v i))) (v i)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (l i)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : DecidableEq.{succ u3} ι] [v : Fintype.{u3} ι] {hv : ι -> E}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (i : ι -> 𝕜) (i_1 : ι), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u1, u3} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (Finset.univ.{u3} ι v) (fun (i_1 : ι) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, 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(AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (i i_1) (hv i_1))) (hv i_1)) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 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+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_fintype Orthonormal.inner_left_fintypeₓ'. -/
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_fintype [Fintype ι] {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜)
@@ -863,6 +1431,12 @@ theorem Orthonormal.inner_left_fintype [Fintype ι] {v : ι → E} (hv : Orthono
   hv.inner_left_sum l (Finset.mem_univ _)
 #align orthonormal.inner_left_fintype Orthonormal.inner_left_fintype
 
+/- warning: orthonormal.inner_finsupp_eq_sum_left -> Orthonormal.inner_finsupp_eq_sum_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l₁ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (l₂ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l₂)) (Finsupp.sum.{u3, u1, u1} ι 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) l₁ (fun (i : ι) (y : 𝕜) => HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) y) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (fun (_x : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) => ι -> 𝕜) (Finsupp.coeFun.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) l₂ i))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (l₂ : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (l₂_1 : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) (InnerProductSpace.toInner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) l₂) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) l₂_1)) (Finsupp.sum.{u1, u3, u3} ι 𝕜 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) l₂ (fun (i : ι) (y : 𝕜) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (NonUnitalNonAssocRing.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (NonAssocRing.toNonUnitalNonAssocRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (Ring.toNonAssocRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (NormedRing.toRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (NormedCommRing.toNormedRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (NormedField.toNormedCommRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) y) _inst_1))))))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 (fun (a : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 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(CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) y) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) ι (fun (a : ι) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) a) (Finsupp.funLike.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) l₂_1 i))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_leftₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the first `finsupp`. -/
 theorem Orthonormal.inner_finsupp_eq_sum_left {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι →₀ 𝕜) :
@@ -870,6 +1444,12 @@ theorem Orthonormal.inner_finsupp_eq_sum_left {v : ι → E} (hv : Orthonormal 
   simp only [l₁.total_apply _, Finsupp.sum_inner, hv.inner_right_finsupp, smul_eq_mul]
 #align orthonormal.inner_finsupp_eq_sum_left Orthonormal.inner_finsupp_eq_sum_left
 
+/- warning: orthonormal.inner_finsupp_eq_sum_right -> Orthonormal.inner_finsupp_eq_sum_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l₁ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (l₂ : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l₂)) (Finsupp.sum.{u3, u1, u1} ι 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) l₂ (fun (i : ι) (y : 𝕜) => HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (fun (_x : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) => ι -> 𝕜) (Finsupp.coeFun.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) l₁ i)) y)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (l₂ : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (l₂_1 : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) (InnerProductSpace.toInner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) l₂) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Semiring.toModule.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Finsupp.total.{u1, u2, u3} ι E 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) hv) l₂) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 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(x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) 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(x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1)))))))) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) 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(x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Semifield.toCommSemiring.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (Field.toSemifield.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (NormedField.toField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1))))) (IsROrC.toStarRing.{u3} ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) i) _inst_1)) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) ι (fun (a : ι) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : ι) => 𝕜) a) (Finsupp.funLike.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) l₂ i)) y)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_rightₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum over the second `finsupp`. -/
 theorem Orthonormal.inner_finsupp_eq_sum_right {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι →₀ 𝕜) :
@@ -877,6 +1457,12 @@ theorem Orthonormal.inner_finsupp_eq_sum_right {v : ι → E} (hv : Orthonormal
   simp only [l₂.total_apply _, Finsupp.inner_sum, hv.inner_left_finsupp, mul_comm, smul_eq_mul]
 #align orthonormal.inner_finsupp_eq_sum_right Orthonormal.inner_finsupp_eq_sum_right
 
+/- warning: orthonormal.inner_sum -> Orthonormal.inner_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (l₁ : ι -> 𝕜) (l₂ : ι -> 𝕜) (s : Finset.{u3} ι), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l₁ i) (v i))) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s (fun (i : ι) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (l₂ i) (v i)))) (Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (i : ι) => HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (l₁ i)) (l₂ i))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (l₂ : ι -> 𝕜) (s : ι -> 𝕜) (s_1 : Finset.{u1} ι), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s_1 (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} 𝕜 E E (instHSMul.{u3, u2} 𝕜 E (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (l₂ i) (hv i))) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) s_1 (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} 𝕜 E E (instHSMul.{u3, u2} 𝕜 E (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (s i) (hv i)))) (Finset.sum.{u3, u1} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) s_1 (fun (i : ι) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NonUnitalNonAssocRing.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NonAssocRing.toNonUnitalNonAssocRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (Ring.toNonAssocRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NormedRing.toRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NormedCommRing.toNormedRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (NormedField.toNormedCommRing.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (DenselyNormedField.toNormedField.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) (IsROrC.toDenselyNormedField.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) (l₂ i)) _inst_1))))))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 (fun (a : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) a) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonUnitalNonAssocSemiring.toMul.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u3, u3} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (l₂ i)) (s i))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_sum Orthonormal.inner_sumₓ'. -/
 /-- The inner product of two linear combinations of a set of orthonormal vectors, expressed as
 a sum. -/
 theorem Orthonormal.inner_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l₂ : ι → 𝕜) (s : Finset ι) :
@@ -887,6 +1473,12 @@ theorem Orthonormal.inner_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l₁ l
   rw [hv.inner_right_sum l₂ hi]
 #align orthonormal.inner_sum Orthonormal.inner_sum
 
+/- warning: orthonormal.inner_left_right_finset -> Orthonormal.inner_left_right_finset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {s : Finset.{u3} ι} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall {a : ι -> ι -> 𝕜}, Eq.{succ u1} 𝕜 (Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (i : ι) => Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (j : ι) => SMul.smul.{u1, u1} 𝕜 𝕜 (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (a i j) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v j) (v i))))) (Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (k : ι) => a k k)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [s : DecidableEq.{succ u3} ι] {v : Finset.{u3} ι} {hv : ι -> E}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall {a : ι -> ι -> 𝕜}, Eq.{succ u2} 𝕜 (Finset.sum.{u2, u3} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) v (fun (i : ι) => Finset.sum.{u2, u3} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) v (fun (j : ι) => HSMul.hSMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSMul.{u2, u2} 𝕜 𝕜 (Algebra.toSMul.{u2, u2} 𝕜 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (NormedAlgebra.id.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (a i j) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (hv j) (hv i))))) (Finset.sum.{u2, u3} 𝕜 ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) v (fun (k : ι) => a k k)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finsetₓ'. -/
 /--
 The double sum of weighted inner products of pairs of vectors from an orthonormal sequence is the
 sum of the weights.
@@ -896,6 +1488,12 @@ theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv :
   classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 
+/- warning: orthonormal.linear_independent -> Orthonormal.linearIndependent is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (LinearIndependent.{u3, u1, u2} ι 𝕜 E v (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (LinearIndependent.{u1, u3, u2} ι 𝕜 E hv (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.linear_independent Orthonormal.linearIndependentₓ'. -/
 /-- An orthonormal set is linearly independent. -/
 theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) : LinearIndependent 𝕜 v :=
   by
@@ -906,6 +1504,12 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
   simpa only [hv.inner_right_finsupp, inner_zero_right] using key
 #align orthonormal.linear_independent Orthonormal.linearIndependent
 
+/- warning: orthonormal.comp -> Orthonormal.comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {ι' : Type.{u4}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : ι' -> ι), (Function.Injective.{succ u4, succ u3} ι' ι f) -> (Orthonormal.{u1, u2, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι' (Function.comp.{succ u4, succ u3, succ u2} ι' ι E v f)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [ι' : DecidableEq.{succ u1} ι] {v : Type.{u4}} {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall (hf : v -> ι), (Function.Injective.{succ u4, succ u1} v ι hf) -> (Orthonormal.{u3, u2, u4} 𝕜 E _inst_1 _inst_2 _inst_3 v (Function.comp.{succ u4, succ u1, succ u2} v ι E hv hf)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.comp Orthonormal.compₓ'. -/
 /-- A subfamily of an orthonormal family (i.e., a composition with an injective map) is an
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
@@ -917,6 +1521,12 @@ theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v)
     simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
 
+/- warning: orthonormal_subtype_range -> orthonormal_subtype_range is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Function.Injective.{succ u3, succ u2} ι E v) -> (Iff (Orthonormal.{u1, u2, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (Set.range.{u2, succ u3} E ι v)))))))) (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] [ι : DecidableEq.{succ u2} E] {v : Type.{u3}} [hv : DecidableEq.{succ u3} v] {v_1 : v -> E}, (Function.Injective.{succ u3, succ u2} v E v_1) -> (Iff (Orthonormal.{u1, u2, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (Set.range.{u2, succ u3} E v v_1))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (Set.range.{u2, succ u3} E v v_1)))) (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 v v_1))
+Case conversion may be inaccurate. Consider using '#align orthonormal_subtype_range orthonormal_subtype_rangeₓ'. -/
 /-- An injective family `v : ι → E` is orthonormal if and only if `coe : (range v) → E` is
 orthonormal. -/
 theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
@@ -928,6 +1538,12 @@ theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
   exact h.comp f.symm f.symm.injective
 #align orthonormal_subtype_range orthonormal_subtype_range
 
+/- warning: orthonormal.to_subtype_range -> Orthonormal.toSubtypeRange is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (Orthonormal.{u1, u2, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) (Set.range.{u2, succ u3} E ι v)) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (Set.range.{u2, succ u3} E ι v))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] [ι : DecidableEq.{succ u2} E] {v : Type.{u1}} [hv : DecidableEq.{succ u1} v] {v_1 : v -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 v v_1) -> (Orthonormal.{u3, u2, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (Set.range.{u2, succ u1} E v v_1))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (Set.range.{u2, succ u1} E v v_1))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.to_subtype_range Orthonormal.toSubtypeRangeₓ'. -/
 /-- If `v : ι → E` is an orthonormal family, then `coe : (range v) → E` is an orthonormal
 family. -/
 theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
@@ -935,6 +1551,12 @@ theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
   (orthonormal_subtype_range hv.LinearIndependent.Injective).2 hv
 #align orthonormal.to_subtype_range Orthonormal.toSubtypeRange
 
+/- warning: orthonormal.inner_finsupp_eq_zero -> Orthonormal.inner_finsupp_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall {s : Set.{u3} ι} {i : ι}, (Not (Membership.Mem.{u3, u3} ι (Set.{u3} ι) (Set.hasMem.{u3} ι) i s)) -> (forall {l : Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))}, (Membership.Mem.{max u3 u1, max u3 u1} (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) l (Finsupp.supported.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) s)) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) -> E) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, u2} 𝕜 𝕜 (Finsupp.{u3, u1} ι 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u3, u1} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finsupp.module.{u3, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Finsupp.total.{u3, u2, u1} ι E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) v) l) (v i)) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (forall {i : Set.{u1} ι} {hi : ι}, (Not (Membership.mem.{u1, u1} ι (Set.{u1} ι) (Set.instMembershipSet.{u1} ι) hi i)) -> (forall {hl : Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))}, (Membership.mem.{max u3 u1, max u3 u1} (Finsupp.{u1, u3} ι 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Submodule.{u3, max u3 u1} 𝕜 (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (SetLike.instMembership.{max u3 u1, max u3 u1} (Submodule.{u3, max u3 u1} 𝕜 (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (Submodule.setLike.{u3, max u3 u1} 𝕜 (Finsupp.{u1, u3} ι 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Finsupp.module.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) hl (Finsupp.supported.{u1, u3, u3} ι 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) i)) -> (Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) hl) (InnerProductSpace.toInner.{u3, u2} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) => E) hl) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), succ u2} (LinearMap.{u3, u3, max u3 u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E (Finsupp.addCommMonoid.{u1, u3} ι 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 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(Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (fun (a : Finsupp.{u1, u3} ι 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zeroₓ'. -/
 /-- A linear combination of some subset of an orthonormal set is orthogonal to other members of the
 set. -/
 theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜 v) {s : Set ι} {i : ι}
@@ -945,9 +1567,15 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
   simp only [hv.inner_left_finsupp, hl i hi, map_zero]
 #align orthonormal.inner_finsupp_eq_zero Orthonormal.inner_finsupp_eq_zero
 
+/- warning: orthonormal.orthonormal_of_forall_eq_or_eq_neg -> Orthonormal.orthonormal_of_forall_eq_or_eq_neg is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E} {w : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (i : ι), Or (Eq.{succ u2} E (w i) (v i)) (Eq.{succ u2} E (w i) (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))) (v i)))) -> (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι w)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [v : DecidableEq.{succ u1} ι] {w : ι -> E} {hv : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι w) -> (forall (i : ι), Or (Eq.{succ u2} E (hv i) (w i)) (Eq.{succ u2} E (hv i) (Neg.neg.{u2} E (NegZeroClass.toNeg.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (w i)))) -> (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv)
+Case conversion may be inaccurate. Consider using '#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_negₓ'. -/
 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
-theorem Orthonormal.orthonormalOfForallEqOrEqNeg {v w : ι → E} (hv : Orthonormal 𝕜 v)
+theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
     (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
   classical
     rw [orthonormal_iff_ite] at *
@@ -955,20 +1583,32 @@ theorem Orthonormal.orthonormalOfForallEqOrEqNeg {v w : ι → E} (hv : Orthonor
     cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
       simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
         neg_eq_zero] using hv i j
-#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormalOfForallEqOrEqNeg
+#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
 
 /- The material that follows, culminating in the existence of a maximal orthonormal subset, is
 adapted from the corresponding development of the theory of linearly independents sets.  See
 `exists_linear_independent` in particular. -/
 variable (𝕜 E)
 
-theorem orthonormalEmpty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
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+Case conversion may be inaccurate. Consider using '#align orthonormal_empty orthonormal_emptyₓ'. -/
+theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
   classical simp [orthonormal_subtype_iff_ite]
-#align orthonormal_empty orthonormalEmpty
+#align orthonormal_empty orthonormal_empty
 
 variable {𝕜 E}
 
-theorem orthonormalUnionOfDirected {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
+/- warning: orthonormal_Union_of_directed -> orthonormal_iUnion_of_directed is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align orthonormal_Union_of_directed orthonormal_iUnion_of_directedₓ'. -/
+theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
   by
   classical
@@ -978,14 +1618,27 @@ theorem orthonormalUnionOfDirected {η : Type _} {s : η → Set E} (hs : Direct
     have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
     rw [orthonormal_subtype_iff_ite] at h_orth
     exact h_orth x (hik hxi) y (hjk hyj)
-#align orthonormal_Union_of_directed orthonormalUnionOfDirected
-
-theorem orthonormalSUnionOfDirected {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
+#align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
+
+/- warning: orthonormal_sUnion_of_directed -> orthonormal_sUnion_of_directed is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directedₓ'. -/
+theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
     (h : ∀ a ∈ s, Orthonormal 𝕜 (fun x => x : (a : Set E) → E)) :
     Orthonormal 𝕜 (fun x => x : ⋃₀ s → E) := by
-  rw [Set.sUnion_eq_iUnion] <;> exact orthonormalUnionOfDirected hs.directed_coe (by simpa using h)
-#align orthonormal_sUnion_of_directed orthonormalSUnionOfDirected
-
+  rw [Set.sUnion_eq_iUnion] <;>
+    exact orthonormal_iUnion_of_directed hs.directed_coe (by simpa using h)
+#align orthonormal_sUnion_of_directed orthonormal_sUnion_of_directed
+
+/- warning: exists_maximal_orthonormal -> exists_maximal_orthonormal is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align exists_maximal_orthonormal exists_maximal_orthonormalₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
@@ -998,10 +1651,16 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
   · refine' ⟨b, sb, bi, _⟩
     exact fun u hus hu => h u hu hus
   · refine' fun c hc cc c0 => ⟨⋃₀ c, _, _⟩
-    · exact orthonormalSUnionOfDirected cc.directed_on fun x xc => hc xc
+    · exact orthonormal_sUnion_of_directed cc.directed_on fun x xc => hc xc
     · exact fun _ => Set.subset_sUnion_of_mem
 #align exists_maximal_orthonormal exists_maximal_orthonormal
 
+/- warning: orthonormal.ne_zero -> Orthonormal.ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (i : ι), Ne.{succ u2} E (v i) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {v : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (i : ι), Ne.{succ u2} E (v i) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.ne_zero Orthonormal.ne_zeroₓ'. -/
 theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) : v i ≠ 0 :=
   by
   have : ‖v i‖ ≠ 0 := by
@@ -1012,12 +1671,24 @@ theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) :
 
 open FiniteDimensional
 
+/- warning: basis_of_orthonormal_of_card_eq_finrank -> basisOfOrthonormalOfCardEqFinrank is a dubious translation:
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+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : Fintype.{u3} ι] [_inst_7 : Nonempty.{succ u3} ι] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_6) (FiniteDimensional.finrank.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) -> (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : DecidableEq.{succ u3} ι] [_inst_7 : Fintype.{u3} ι] [v : Nonempty.{succ u3} ι] {hv : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι hv) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_7) (FiniteDimensional.finrank.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) -> (Basis.{u3, u1, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align basis_of_orthonormal_of_card_eq_finrank basisOfOrthonormalOfCardEqFinrankₓ'. -/
 /-- A family of orthonormal vectors with the correct cardinality forms a basis. -/
 def basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E} (hv : Orthonormal 𝕜 v)
     (card_eq : Fintype.card ι = finrank 𝕜 E) : Basis ι 𝕜 E :=
   basisOfLinearIndependentOfCardEqFinrank hv.LinearIndependent card_eq
 #align basis_of_orthonormal_of_card_eq_finrank basisOfOrthonormalOfCardEqFinrank
 
+/- warning: coe_basis_of_orthonormal_of_card_eq_finrank -> coe_basisOfOrthonormalOfCardEqFinrank is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [_inst_6 : Fintype.{u3} ι] [_inst_7 : Nonempty.{succ u3} ι] {v : ι -> E} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) (card_eq : Eq.{1} Nat (Fintype.card.{u3} ι _inst_6) (FiniteDimensional.finrank.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))), Eq.{max (succ u3) (succ u2)} ((fun (_x : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => ι -> E) (basisOfOrthonormalOfCardEqFinrank.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι _inst_6 _inst_7 v hv card_eq)) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u1) (succ u2), succ u3, succ u2} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => E) (Basis.funLike.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (basisOfOrthonormalOfCardEqFinrank.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι _inst_6 _inst_7 v hv card_eq)) v
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align coe_basis_of_orthonormal_of_card_eq_finrank coe_basisOfOrthonormalOfCardEqFinrankₓ'. -/
 @[simp]
 theorem coe_basisOfOrthonormalOfCardEqFinrank [Fintype ι] [Nonempty ι] {v : ι → E}
     (hv : Orthonormal 𝕜 v) (card_eq : Fintype.card ι = finrank 𝕜 E) :
@@ -1029,6 +1700,12 @@ end OrthonormalSets
 
 section Norm
 
+/- warning: norm_eq_sqrt_inner -> norm_eq_sqrt_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Real.sqrt (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (Real.sqrt (FunLike.coe.{succ u1, succ u1, 1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)))
+Case conversion may be inaccurate. Consider using '#align norm_eq_sqrt_inner norm_eq_sqrt_innerₓ'. -/
 theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   calc
     ‖x‖ = sqrt (‖x‖ ^ 2) := (sqrt_sq (norm_nonneg _)).symm
@@ -1036,31 +1713,63 @@ theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
     
 #align norm_eq_sqrt_inner norm_eq_sqrt_inner
 
+#print norm_eq_sqrt_real_inner /-
 theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
   @norm_eq_sqrt_inner ℝ _ _ _ _ x
 #align norm_eq_sqrt_real_inner norm_eq_sqrt_real_inner
+-/
 
+/- warning: inner_self_eq_norm_mul_norm -> inner_self_eq_norm_mul_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x))
+Case conversion may be inaccurate. Consider using '#align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_normₓ'. -/
 theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [@norm_eq_sqrt_inner 𝕜, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫),
     sqrt_mul_self inner_self_nonneg]
 #align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_norm
 
+/- warning: inner_self_eq_norm_sq -> inner_self_eq_norm_sq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (HPow.hPow.{0, 0, 0} Real Nat ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))
+Case conversion may be inaccurate. Consider using '#align inner_self_eq_norm_sq inner_self_eq_norm_sqₓ'. -/
 theorem inner_self_eq_norm_sq (x : E) : re ⟪x, x⟫ = ‖x‖ ^ 2 := by
   rw [pow_two, inner_self_eq_norm_mul_norm]
 #align inner_self_eq_norm_sq inner_self_eq_norm_sq
 
+/- warning: real_inner_self_eq_norm_mul_norm -> real_inner_self_eq_norm_mul_norm is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x))
+Case conversion may be inaccurate. Consider using '#align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_normₓ'. -/
 theorem real_inner_self_eq_norm_mul_norm (x : F) : ⟪x, x⟫_ℝ = ‖x‖ * ‖x‖ :=
   by
   have h := @inner_self_eq_norm_mul_norm ℝ F _ _ _ x
   simpa using h
 #align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_norm
 
+/- warning: real_inner_self_eq_norm_sq -> real_inner_self_eq_norm_sq is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x x) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))
+Case conversion may be inaccurate. Consider using '#align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sqₓ'. -/
 theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
   rw [pow_two, real_inner_self_eq_norm_mul_norm]
 #align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sq
 
 variable (𝕜)
 
+/- warning: norm_add_sq -> norm_add_sq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align norm_add_sq norm_add_sqₓ'. -/
 /-- Expand the square -/
 theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
@@ -1070,9 +1779,21 @@ theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y
   rw [← inner_conj_symm, conj_re]
 #align norm_add_sq norm_add_sq
 
+/- warning: norm_add_pow_two -> norm_add_pow_two is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HMul.hMul.{0, 0, 0} Real ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) Real (instHMul.{0} Real Real.instMulReal) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))) (FunLike.coe.{succ u1, succ u1, 1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))
+Case conversion may be inaccurate. Consider using '#align norm_add_pow_two norm_add_pow_twoₓ'. -/
 alias norm_add_sq ← norm_add_pow_two
 #align norm_add_pow_two norm_add_pow_two
 
+/- warning: norm_add_sq_real -> norm_add_sq_real is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align norm_add_sq_real norm_add_sq_realₓ'. -/
 /-- Expand the square -/
 theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
   by
@@ -1080,9 +1801,21 @@ theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y
   simpa using h
 #align norm_add_sq_real norm_add_sq_real
 
+/- warning: norm_add_pow_two_real -> norm_add_pow_two_real is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align norm_add_pow_two_real norm_add_pow_two_realₓ'. -/
 alias norm_add_sq_real ← norm_add_pow_two_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
+/- warning: norm_add_mul_self -> norm_add_mul_self is a dubious translation:
+lean 3 declaration is
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𝕜 E _inst_1 _inst_2 _inst_3) x y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y)))
+Case conversion may be inaccurate. Consider using '#align norm_add_mul_self norm_add_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by
@@ -1090,6 +1823,12 @@ theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x
   exact norm_add_sq _ _
 #align norm_add_mul_self norm_add_mul_self
 
+/- warning: norm_add_mul_self_real -> norm_add_mul_self_real is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align norm_add_mul_self_real norm_add_mul_self_realₓ'. -/
 /-- Expand the square -/
 theorem norm_add_mul_self_real (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
@@ -1098,23 +1837,53 @@ theorem norm_add_mul_self_real (x y : F) :
   simpa using h
 #align norm_add_mul_self_real norm_add_mul_self_real
 
+/- warning: norm_sub_sq -> norm_sub_sq is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align norm_sub_sq norm_sub_sqₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 := by
   rw [sub_eq_add_neg, @norm_add_sq 𝕜 _ _ _ _ x (-y), norm_neg, inner_neg_right, map_neg, mul_neg,
     sub_eq_add_neg]
 #align norm_sub_sq norm_sub_sq
 
+/- warning: norm_sub_pow_two -> norm_sub_pow_two is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align norm_sub_pow_two norm_sub_pow_twoₓ'. -/
 alias norm_sub_sq ← norm_sub_pow_two
 #align norm_sub_pow_two norm_sub_pow_two
 
+/- warning: norm_sub_sq_real -> norm_sub_sq_real is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align norm_sub_sq_real norm_sub_sq_realₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
   @norm_sub_sq ℝ _ _ _ _ _ _
 #align norm_sub_sq_real norm_sub_sq_real
 
+/- warning: norm_sub_pow_two_real -> norm_sub_pow_two_real is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align norm_sub_pow_two_real norm_sub_pow_two_realₓ'. -/
 alias norm_sub_sq_real ← norm_sub_pow_two_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
+/- warning: norm_sub_mul_self -> norm_sub_mul_self is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y)))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real 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_inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y)))
+Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self norm_sub_mul_selfₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by
@@ -1122,6 +1891,12 @@ theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x
   exact norm_sub_sq _ _
 #align norm_sub_mul_self norm_sub_mul_self
 
+/- warning: norm_sub_mul_self_real -> norm_sub_mul_self_real is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)))
+Case conversion may be inaccurate. Consider using '#align norm_sub_mul_self_real norm_sub_mul_self_realₓ'. -/
 /-- Expand the square -/
 theorem norm_sub_mul_self_real (x y : F) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
@@ -1130,6 +1905,12 @@ theorem norm_sub_mul_self_real (x y : F) :
   simpa using h
 #align norm_sub_mul_self_real norm_sub_mul_self_real
 
+/- warning: norm_inner_le_norm -> norm_inner_le_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))
+Case conversion may be inaccurate. Consider using '#align norm_inner_le_norm norm_inner_le_normₓ'. -/
 /-- Cauchy–Schwarz inequality with norm -/
 theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   by
@@ -1138,19 +1919,43 @@ theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   exact InnerProductSpace.Core.norm_inner_le_norm x y
 #align norm_inner_le_norm norm_inner_le_norm
 
+/- warning: nnnorm_inner_le_nnnorm -> nnnorm_inner_le_nnnorm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{u1} 𝕜 (SeminormedAddGroup.toNNNorm.{u1} 𝕜 (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (Distrib.toHasMul.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (NNNorm.nnnorm.{u2} E (SeminormedAddGroup.toNNNorm.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) x) (NNNorm.nnnorm.{u2} E (SeminormedAddGroup.toNNNorm.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) y))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{u2} 𝕜 (SeminormedAddGroup.toNNNorm.{u2} 𝕜 (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) x) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) y))
+Case conversion may be inaccurate. Consider using '#align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnormₓ'. -/
 theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ * ‖y‖₊ :=
   norm_inner_le_norm x y
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
 
+/- warning: re_inner_le_norm -> re_inner_le_norm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} Real Real.hasLe (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), LE.le.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))
+Case conversion may be inaccurate. Consider using '#align re_inner_le_norm re_inner_le_normₓ'. -/
 theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
   le_trans (re_le_norm (inner x y)) (norm_inner_le_norm x y)
 #align re_inner_le_norm re_inner_le_norm
 
+/- warning: abs_real_inner_le_norm -> abs_real_inner_le_norm is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.hasLe (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.instLEReal (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))
+Case conversion may be inaccurate. Consider using '#align abs_real_inner_le_norm abs_real_inner_le_normₓ'. -/
 /-- Cauchy–Schwarz inequality with norm -/
 theorem abs_real_inner_le_norm (x y : F) : |⟪x, y⟫_ℝ| ≤ ‖x‖ * ‖y‖ :=
   (Real.norm_eq_abs _).ge.trans (norm_inner_le_norm x y)
 #align abs_real_inner_le_norm abs_real_inner_le_norm
 
+/- warning: real_inner_le_norm -> real_inner_le_norm is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.hasLe (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.instLEReal (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))
+Case conversion may be inaccurate. Consider using '#align real_inner_le_norm real_inner_le_normₓ'. -/
 /-- Cauchy–Schwarz inequality with norm -/
 theorem real_inner_le_norm (x y : F) : ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
   le_trans (le_abs_self _) (abs_real_inner_le_norm _ _)
@@ -1160,6 +1965,12 @@ include 𝕜
 
 variable (𝕜)
 
+/- warning: parallelogram_law_with_norm -> parallelogram_law_with_norm is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x y)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))))
+Case conversion may be inaccurate. Consider using '#align parallelogram_law_with_norm parallelogram_law_with_normₓ'. -/
 theorem parallelogram_law_with_norm (x y : E) :
     ‖x + y‖ * ‖x + y‖ + ‖x - y‖ * ‖x - y‖ = 2 * (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) :=
   by
@@ -1168,6 +1979,12 @@ theorem parallelogram_law_with_norm (x y : E) :
   simp only [re.map_add]
 #align parallelogram_law_with_norm parallelogram_law_with_norm
 
+/- warning: parallelogram_law_with_nnnorm -> parallelogram_law_with_nnnorm is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} NNReal (HAdd.hAdd.{0, 0, 0} NNReal NNReal NNReal (instHAdd.{0} NNReal (Distrib.toAdd.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal instNNRealSemiring))))) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y))) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x y)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x y)))) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (OfNat.ofNat.{0} NNReal 2 (instOfNat.{0} NNReal 2 (CanonicallyOrderedCommSemiring.toNatCast.{0} NNReal instNNRealCanonicallyOrderedCommSemiring) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))) (HAdd.hAdd.{0, 0, 0} NNReal NNReal NNReal (instHAdd.{0} NNReal (Distrib.toAdd.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal instNNRealSemiring))))) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) x) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) x)) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) y) (NNNorm.nnnorm.{u1} E (SeminormedAddGroup.toNNNorm.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) y))))
+Case conversion may be inaccurate. Consider using '#align parallelogram_law_with_nnnorm parallelogram_law_with_nnnormₓ'. -/
 theorem parallelogram_law_with_nnnorm (x y : E) :
     ‖x + y‖₊ * ‖x + y‖₊ + ‖x - y‖₊ * ‖x - y‖₊ = 2 * (‖x‖₊ * ‖x‖₊ + ‖y‖₊ * ‖y‖₊) :=
   Subtype.ext <| parallelogram_law_with_norm 𝕜 x y
@@ -1177,6 +1994,12 @@ variable {𝕜}
 
 omit 𝕜
 
+/- warning: re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two -> re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))))
+but is expected to have type
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(Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 2 (instOfNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))
+Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 :=
@@ -1185,6 +2008,12 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_tw
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
+/- warning: re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two -> re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y)))) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} 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+Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 :=
@@ -1193,6 +2022,12 @@ theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_tw
   ring
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
+/- warning: re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four -> re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 :=
@@ -1201,6 +2036,12 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four
 
+/- warning: im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four -> im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (IsROrC.i.{u1} 𝕜 _inst_1) y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (IsROrC.i.{u1} 𝕜 _inst_1) y))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E 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_inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (IsROrC.i.{u1} 𝕜 _inst_1) y))))) (OfNat.ofNat.{0} Real 4 (OfNat.mk.{0} Real 4 (bit0.{0} Real Real.hasAdd (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.im.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HDiv.hDiv.{0, 0, 0} Real ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y))) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y)))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y))) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y))))) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 4 (instOfNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) 4 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+Case conversion may be inaccurate. Consider using '#align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_fourₓ'. -/
 /-- Polarization identity: The imaginary part of the inner product, in terms of the norm. -/
 theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four (x y : E) :
     im ⟪x, y⟫ = (‖x - IK • y‖ * ‖x - IK • y‖ - ‖x + IK • y‖ * ‖x + IK • y‖) / 4 :=
@@ -1209,6 +2050,12 @@ theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_fo
   ring
 #align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four
 
+/- warning: inner_eq_sum_norm_sq_div_four -> inner_eq_sum_norm_sq_div_four is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y))) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x y))) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (IsROrC.i.{u1} 𝕜 _inst_1) y)))) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (IsROrC.i.{u1} 𝕜 _inst_1) y)))) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) (IsROrC.i.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 4 (OfNat.mk.{u1} 𝕜 4 (bit0.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (bit0.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (Field.toDiv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (HPow.hPow.{u2, 0, u2} 𝕜 Nat 𝕜 (instHPow.{u2, 0} 𝕜 Nat (Monoid.Pow.{u2} 𝕜 (MonoidWithZero.toMonoid.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y))) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HPow.hPow.{u2, 0, u2} 𝕜 Nat 𝕜 (instHPow.{u2, 0} 𝕜 Nat (Monoid.Pow.{u2} 𝕜 (MonoidWithZero.toMonoid.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x y))) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (HPow.hPow.{u2, 0, u2} 𝕜 Nat 𝕜 (instHPow.{u2, 0} 𝕜 Nat (Monoid.Pow.{u2} 𝕜 (MonoidWithZero.toMonoid.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y)))) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HPow.hPow.{u2, 0, u2} 𝕜 Nat 𝕜 (instHPow.{u2, 0} 𝕜 Nat (Monoid.Pow.{u2} 𝕜 (MonoidWithZero.toMonoid.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u2} 𝕜 _inst_1) y)))) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) (IsROrC.I.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 4 (instOfNat.{u2} 𝕜 4 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+Case conversion may be inaccurate. Consider using '#align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_fourₓ'. -/
 /-- Polarization identity: The inner product, in terms of the norm. -/
 theorem inner_eq_sum_norm_sq_div_four (x y : E) :
     ⟪x, y⟫ = (‖x + y‖ ^ 2 - ‖x - y‖ ^ 2 + (‖x - IK • y‖ ^ 2 - ‖x + IK • y‖ ^ 2) * IK) / 4 :=
@@ -1219,6 +2066,12 @@ theorem inner_eq_sum_norm_sq_div_four (x y : E) :
   simp only [sq, ← mul_div_right_comm, ← add_div]
 #align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_four
 
+/- warning: dist_div_norm_sq_smul -> dist_div_norm_sq_smul is a dubious translation:
+lean 3 declaration is
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(SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) 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_inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real 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(instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) R (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) R (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (Dist.dist.{u1} F (PseudoMetricSpace.toHasDist.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) x y)))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) -> (Ne.{succ u1} F y (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) -> (forall (R : Real), Eq.{1} Real (Dist.dist.{u1} F (PseudoMetricSpace.toDist.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) R (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) x) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) R (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) R (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (Dist.dist.{u1} F (PseudoMetricSpace.toDist.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) x y)))
+Case conversion may be inaccurate. Consider using '#align dist_div_norm_sq_smul dist_div_norm_sq_smulₓ'. -/
 /-- Formula for the distance between the images of two nonzero points under an inversion with center
 zero. See also `euclidean_geometry.dist_inversion_inversion` for inversions around a general
 point. -/
@@ -1243,8 +2096,9 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
     
 #align dist_div_norm_sq_smul dist_div_norm_sq_smul
 
+#print InnerProductSpace.toUniformConvexSpace /-
 -- See note [lower instance priority]
-instance (priority := 100) InnerProductSpace.to_uniformConvexSpace : UniformConvexSpace F :=
+instance (priority := 100) InnerProductSpace.toUniformConvexSpace : UniformConvexSpace F :=
   ⟨fun ε hε =>
     by
     refine'
@@ -1256,12 +2110,19 @@ instance (priority := 100) InnerProductSpace.to_uniformConvexSpace : UniformConv
     rw [sq, eq_sub_iff_add_eq.2 (parallelogram_law_with_norm ℝ x y), ← sq ‖x - y‖, hx, hy]
     norm_num
     exact pow_le_pow_of_le_left hε.le hxy _⟩
-#align inner_product_space.to_uniform_convex_space InnerProductSpace.to_uniformConvexSpace
+#align inner_product_space.to_uniform_convex_space InnerProductSpace.toUniformConvexSpace
+-/
 
 section Complex
 
 variable {V : Type _} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
 
+/- warning: inner_map_polarization -> inner_map_polarization is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} V] [_inst_7 : InnerProductSpace.{0, u1} Complex V Complex.isROrC _inst_6] (T : LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (x : V) (y : V), Eq.{1} 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(Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (fun (_x : LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) => V -> V) (LinearMap.hasCoeToFun.{0, 0, u1, u1} Complex Complex V V (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) T (HAdd.hAdd.{u1, u1, u1} V V V (instHAdd.{u1} V (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))) (HAdd.hAdd.{u1, u1, u1} V V V (instHAdd.{u1} V (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))))) (HMul.hMul.{0, 0, 0} Complex Complex Complex (instHMul.{0} Complex Complex.hasMul) Complex.I (Inner.inner.{0, u1} Complex V (InnerProductSpace.toHasInner.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (fun (_x : LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) => V -> V) (LinearMap.hasCoeToFun.{0, 0, u1, u1} Complex Complex V V (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) T (HSub.hSub.{u1, u1, u1} V V V (instHSub.{u1} V (SubNegMonoid.toHasSub.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} 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(InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))) (HSub.hSub.{u1, u1, u1} V V V (instHSub.{u1} V (SubNegMonoid.toHasSub.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))))) (OfNat.ofNat.{0} Complex 4 (OfNat.mk.{0} Complex 4 (bit0.{0} Complex Complex.hasAdd (bit0.{0} Complex Complex.hasAdd (One.one.{0} Complex Complex.hasOne))))))
+but is expected to have type
+  forall {V : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} V] [_inst_7 : InnerProductSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6] (T : LinearMap.{0, 0, u1, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7))) (x : V) (y : V), Eq.{1} Complex (Inner.inner.{0, u1} Complex ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : V) => V) y) (InnerProductSpace.toInner.{0, u1} Complex ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : V) => V) y) Complex.instIsROrCComplex _inst_6 _inst_7) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex 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_inst_7))))))) Complex.I y))))) (OfNat.ofNat.{0} Complex 4 (instOfNat.{0} Complex 4 (Semiring.toNatCast.{0} Complex Complex.instSemiringComplex) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+Case conversion may be inaccurate. Consider using '#align inner_map_polarization inner_map_polarizationₓ'. -/
 /-- A complex polarization identity, with a linear map
 -/
 theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
@@ -1277,6 +2138,12 @@ theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
   ring
 #align inner_map_polarization inner_map_polarization
 
+/- warning: inner_map_polarization' -> inner_map_polarization' is a dubious translation:
+lean 3 declaration is
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(NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) => V -> V) (LinearMap.hasCoeToFun.{0, 0, u1, u1} Complex Complex V V (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) T (HAdd.hAdd.{u1, u1, u1} V V V (instHAdd.{u1} V (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))) (HAdd.hAdd.{u1, u1, u1} V V V (instHAdd.{u1} V (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))))) (HMul.hMul.{0, 0, 0} Complex Complex Complex (instHMul.{0} Complex Complex.hasMul) Complex.I (Inner.inner.{0, u1} Complex V (InnerProductSpace.toHasInner.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) (fun (_x : LinearMap.{0, 0, u1, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7))) => V -> V) (LinearMap.hasCoeToFun.{0, 0, u1, u1} Complex Complex V V (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) T (HSub.hSub.{u1, u1, u1} V V V (instHSub.{u1} V (SubNegMonoid.toHasSub.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))) (HSub.hSub.{u1, u1, u1} V V V (instHSub.{u1} V (SubNegMonoid.toHasSub.{u1} V (AddGroup.toSubNegMonoid.{u1} V (NormedAddGroup.toAddGroup.{u1} V (NormedAddCommGroup.toNormedAddGroup.{u1} V _inst_6))))) x (SMul.smul.{0, u1} Complex V (SMulZeroClass.toHasSmul.{0, u1} Complex V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex V (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex V (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC))))))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6)))))) (Module.toMulActionWithZero.{0, u1} Complex V (Ring.toSemiring.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} V (SeminormedAddCommGroup.toAddCommGroup.{u1} V (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6))) (NormedSpace.toModule.{0, u1} Complex V (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.isROrC _inst_6 _inst_7)))))) Complex.I y))))) (OfNat.ofNat.{0} Complex 4 (OfNat.mk.{0} Complex 4 (bit0.{0} Complex Complex.hasAdd (bit0.{0} Complex Complex.hasAdd (One.one.{0} Complex Complex.hasOne))))))
+but is expected to have type
+  forall {V : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} V] [_inst_7 : InnerProductSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6] (T : LinearMap.{0, 0, u1, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7))) (x : V) (y : V), 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_inst_7))))))) Complex.I y))))) (OfNat.ofNat.{0} Complex 4 (instOfNat.{0} Complex 4 (Semiring.toNatCast.{0} Complex Complex.instSemiringComplex) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+Case conversion may be inaccurate. Consider using '#align inner_map_polarization' inner_map_polarization'ₓ'. -/
 theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
     ⟪T x, y⟫_ℂ =
       (⟪T (x + y), x + y⟫_ℂ - ⟪T (x - y), x - y⟫_ℂ -
@@ -1290,6 +2157,12 @@ theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
   ring
 #align inner_map_polarization' inner_map_polarization'
 
+/- warning: inner_map_self_eq_zero -> inner_map_self_eq_zero is a dubious translation:
+lean 3 declaration is
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(Ring.toSemiring.{0} Complex Complex.ring))))))))
+but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))))))
+Case conversion may be inaccurate. Consider using '#align inner_map_self_eq_zero inner_map_self_eq_zeroₓ'. -/
 /-- A linear map `T` is zero, if and only if the identity `⟪T x, x⟫_ℂ = 0` holds for all `x`.
 -/
 theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_ℂ = 0) ↔ T = 0 :=
@@ -1303,6 +2176,12 @@ theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_
     simp only [LinearMap.zero_apply, inner_zero_left]
 #align inner_map_self_eq_zero inner_map_self_eq_zero
 
+/- warning: ext_inner_map -> ext_inner_map is a dubious translation:
+lean 3 declaration is
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(InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7))) V (fun (_x : V) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : V) => V) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} Complex Complex V V Complex.instSemiringComplex Complex.instSemiringComplex (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))) T x) x)) (Eq.{succ u1} (LinearMap.{0, 0, u1, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) V V (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (AddCommGroup.toAddCommMonoid.{u1} V (NormedAddCommGroup.toAddCommGroup.{u1} V _inst_6)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7)) (NormedSpace.toModule.{0, u1} Complex V Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} V _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Complex V Complex.instIsROrCComplex _inst_6 _inst_7))) S T)
+Case conversion may be inaccurate. Consider using '#align ext_inner_map ext_inner_mapₓ'. -/
 /--
 Two linear maps `S` and `T` are equal, if and only if the identity `⟪S x, x⟫_ℂ = ⟪T x, x⟫_ℂ` holds
 for all `x`.
@@ -1324,74 +2203,152 @@ variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 variable {E'' : Type _} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
+/- warning: linear_isometry.inner_map_map -> LinearIsometry.inner_map_map is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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_inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) 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(RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun 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(InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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_inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f y)) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+Case conversion may be inaccurate. Consider using '#align linear_isometry.inner_map_map LinearIsometry.inner_map_mapₓ'. -/
 /-- A linear isometry preserves the inner product. -/
 @[simp]
 theorem LinearIsometry.inner_map_map (f : E →ₗᵢ[𝕜] E') (x y : E) : ⟪f x, f y⟫ = ⟪x, y⟫ := by
   simp [inner_eq_sum_norm_sq_div_four, ← f.norm_map]
 #align linear_isometry.inner_map_map LinearIsometry.inner_map_map
 
+/- warning: linear_isometry_equiv.inner_map_map -> LinearIsometryEquiv.inner_map_map is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometryEquiv.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometryEquiv.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) f y)) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)
+Case conversion may be inaccurate. Consider using '#align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_mapₓ'. -/
 /-- A linear isometric equivalence preserves the inner product. -/
 @[simp]
 theorem LinearIsometryEquiv.inner_map_map (f : E ≃ₗᵢ[𝕜] E') (x y : E) : ⟪f x, f y⟫ = ⟪x, y⟫ :=
   f.toLinearIsometry.inner_map_map x y
 #align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_map
 
+/- warning: linear_map.isometry_of_inner -> LinearMap.isometryOfInner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) -> (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))), (forall (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') x) (InnerProductSpace.toInner.{u1, u3} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' 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(NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))
+Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_inner LinearMap.isometryOfInnerₓ'. -/
 /-- A linear map that preserves the inner product is a linear isometry. -/
 def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E →ₗᵢ[𝕜] E' :=
   ⟨f, fun x => by simp only [@norm_eq_sqrt_inner 𝕜, h]⟩
 #align linear_map.isometry_of_inner LinearMap.isometryOfInner
 
+/- warning: linear_map.coe_isometry_of_inner -> LinearMap.coe_isometryOfInner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 E' (InnerProductSpace.toHasInner.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearMap.isometryOfInner.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') x) 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+Case conversion may be inaccurate. Consider using '#align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInnerₓ'. -/
 @[simp]
 theorem LinearMap.coe_isometryOfInner (f : E →ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
   rfl
 #align linear_map.coe_isometry_of_inner LinearMap.coe_isometryOfInner
 
+/- warning: linear_map.isometry_of_inner_to_linear_map -> LinearMap.isometryOfInner_toLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometry.toLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearMap.isometryOfInner.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') x) 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(NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometry.toLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearMap.isometryOfInner.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
+Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMapₓ'. -/
 @[simp]
 theorem LinearMap.isometryOfInner_toLinearMap (f : E →ₗ[𝕜] E') (h) :
     (f.isometryOfInner h).toLinearMap = f :=
   rfl
 #align linear_map.isometry_of_inner_to_linear_map LinearMap.isometryOfInner_toLinearMap
 
+/- warning: linear_equiv.isometry_of_inner -> LinearEquiv.isometryOfInner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 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(LinearEquiv.isometryOfInner._proof_4.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_3.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_4.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_5.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_6.{u1} 𝕜 _inst_1)) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) -> (LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_8.{u1} 𝕜 _inst_1) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))), (forall (x : E) (y : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u3} 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') x) (InnerProductSpace.toInner.{u1, u3} 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 E (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E' (AddMonoid.toZero.{u3} E' (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u1, u3} 𝕜 E' (AddMonoid.toAddZeroClass.{u3} E' (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u1, u3} 𝕜 E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6))) (Module.toDistribMulAction.{u1, u3} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u1, u3} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} 𝕜 E E' (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E E' (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' 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(NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u3} E' (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u1, u3} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} 𝕜 E E' (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E E' (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) -> (LinearIsometryEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)))
+Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInnerₓ'. -/
 /-- A linear equivalence that preserves the inner product is a linear isometric equivalence. -/
 def LinearEquiv.isometryOfInner (f : E ≃ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E ≃ₗᵢ[𝕜] E' :=
   ⟨f, ((f : E →ₗ[𝕜] E').isometryOfInner h).norm_map⟩
 #align linear_equiv.isometry_of_inner LinearEquiv.isometryOfInner
 
+/- warning: linear_equiv.coe_isometry_of_inner -> LinearEquiv.coe_isometryOfInner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u3, u2} 𝕜 E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribMulAction.toDistribSMul.{u3, u2} 𝕜 E (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E 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_inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 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(Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) 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(DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f y)) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) (LinearEquiv.isometryOfInner.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 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(AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInnerₓ'. -/
 @[simp]
 theorem LinearEquiv.coe_isometryOfInner (f : E ≃ₗ[𝕜] E') (h) : ⇑(f.isometryOfInner h) = f :=
   rfl
 #align linear_equiv.coe_isometry_of_inner LinearEquiv.coe_isometryOfInner
 
+/- warning: linear_equiv.isometry_of_inner_to_linear_equiv -> LinearEquiv.isometryOfInner_toLinearEquiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_5.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_6.{u1} 𝕜 _inst_1)) f y)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)), Eq.{max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_8.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E' (SeminormedAddCommGroup.toAddCommGroup.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometryEquiv.toLinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfInner._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfInner._proof_8.{u1} 𝕜 _inst_1) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearEquiv.isometryOfInner.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (h : forall (x : E) (y : E), Eq.{succ u3} 𝕜 (Inner.inner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') x) (InnerProductSpace.toInner.{u3, u1} 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') x) _inst_1 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u3, u2} 𝕜 E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))) (DistribMulAction.toDistribSMul.{u3, u2} 𝕜 E (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 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_inst_6)))) (DistribSMul.toSMulZeroClass.{u3, u1} 𝕜 E' (AddMonoid.toAddZeroClass.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u3, u1} 𝕜 E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6))) (Module.toDistribMulAction.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) 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(DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) f y)) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometryEquiv.toLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearEquiv.isometryOfInner.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7 f h)) f
+Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
     (f.isometryOfInner h).toLinearEquiv = f :=
   rfl
 #align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquiv
 
+/- warning: linear_isometry.orthonormal_comp_iff -> LinearIsometry.orthonormal_comp_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {v : ι -> E} (f : LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))), Iff (Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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_inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) f) v)) (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {E' : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E'] [_inst_7 : InnerProductSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6] {v : ι -> E} (f : LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))), Iff (Orthonormal.{u4, u2, u1} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u1, succ u3, succ u2} ι E E' (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 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_inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u2} E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f) v)) (Orthonormal.{u4, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v)
+Case conversion may be inaccurate. Consider using '#align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iffₓ'. -/
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by
   classical simp_rw [orthonormal_iff_ite, LinearIsometry.inner_map_map]
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 
+/- warning: orthonormal.comp_linear_isometry -> Orthonormal.comp_linearIsometry is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometry.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) f) v))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u4, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u4, u1, u2} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u2, succ u3, succ u1} ι E E' (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u3 u1, u3, u1} (LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u1, u4, u4, u3, u1} (LinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 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_inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u4, u4, u3, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) f) v))
+Case conversion may be inaccurate. Consider using '#align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometryₓ'. -/
 /-- A linear isometry preserves the property of being orthonormal. -/
-theorem Orthonormal.compLinearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
+theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) := by rwa [f.orthonormal_comp_iff]
-#align orthonormal.comp_linear_isometry Orthonormal.compLinearIsometry
-
+#align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometry
+
+/- warning: orthonormal.comp_linear_isometry_equiv -> Orthonormal.comp_linearIsometryEquiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometryEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearIsometryEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearIsometryEquiv.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) f) v))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : ι -> E}, (Orthonormal.{u4, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (f : LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u4, u1, u2} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u2, succ u3, succ u1} ι E E' (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u3 u1, u3, u1} (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u1, u4, u4, u3, u1} (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 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_inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u4, u4, u3, u1, max u3 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 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(Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 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(DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u4, u4, u3, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) f) v))
+Case conversion may be inaccurate. Consider using '#align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquivₓ'. -/
 /-- A linear isometric equivalence preserves the property of being orthonormal. -/
-theorem Orthonormal.compLinearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
+theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) :=
-  hv.compLinearIsometry f.toLinearIsometry
-#align orthonormal.comp_linear_isometry_equiv Orthonormal.compLinearIsometryEquiv
-
+  hv.comp_linearIsometry f.toLinearIsometry
+#align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquiv
+
+/- warning: orthonormal.map_linear_isometry_equiv -> Orthonormal.mapLinearIsometryEquiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u1) (succ u2), succ u3, succ u2} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => E) (Basis.funLike.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v)) -> (forall (f : LinearIsometryEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))), Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (coeFn.{max (succ u3) (succ u1) (succ u4), max (succ u3) (succ u4)} (Basis.{u3, u1, u4} ι 𝕜 E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : Basis.{u3, u1, u4} ι 𝕜 E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ι -> E') (FunLike.hasCoeToFun.{max (succ u3) (succ u1) (succ u4), succ u3, succ u4} (Basis.{u3, u1, u4} ι 𝕜 E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) ι (fun (_x : ι) => E') (Basis.funLike.{u3, u1, u4} ι 𝕜 E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)))) (Basis.map.{u3, u1, u2, u4} ι 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) v (LinearIsometryEquiv.toLinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) f))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u4, u3, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (Orthonormal.{u3, u2, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u3) (succ u2)) (succ 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) -> (forall (f : LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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_inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) f))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquivₓ'. -/
 /-- A linear isometric equivalence, applied with `basis.map`, preserves the property of being
 orthonormal. -/
 theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (f : E ≃ₗᵢ[𝕜] E') : Orthonormal 𝕜 (v.map f.toLinearEquiv) :=
-  hv.compLinearIsometryEquiv f
+  hv.comp_linearIsometryEquiv f
 #align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquiv
 
+/- warning: linear_map.isometry_of_orthonormal -> LinearMap.isometryOfOrthonormal is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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(NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearMap.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => E) (Basis.funLike.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v))) -> (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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+Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormalₓ'. -/
 /-- A linear map that sends an orthonormal basis to orthonormal vectors is a linear isometry. -/
 def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (hf : Orthonormal 𝕜 (f ∘ v)) : E →ₗᵢ[𝕜] E' :=
@@ -1400,12 +2357,24 @@ def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E
       hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_map.isometry_of_orthonormal LinearMap.isometryOfOrthonormal
 
+/- warning: linear_map.coe_isometry_of_orthonormal -> LinearMap.coe_isometryOfOrthonormal is a dubious translation:
+lean 3 declaration is
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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {E' : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E'] [_inst_7 : InnerProductSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) (hf : Orthonormal.{u4, u2, u1} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u1, succ u3, succ u2} ι E E' (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E') _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))))) f) (FunLike.coe.{max (max (succ 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(AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) v))), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 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(x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E') _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) 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(DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormalₓ'. -/
 @[simp]
 theorem LinearMap.coe_isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) : ⇑(f.isometryOfOrthonormal hv hf) = f :=
   rfl
 #align linear_map.coe_isometry_of_orthonormal LinearMap.coe_isometryOfOrthonormal
 
+/- warning: linear_map.isometry_of_orthonormal_to_linear_map -> LinearMap.isometryOfOrthonormal_toLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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_inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearMap.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v))), Eq.{max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometry.toLinearMap.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearMap.isometryOfOrthonormal.{u1, u2, u3, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι E' _inst_6 _inst_7 f v hv hf)) f
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {E' : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E'] [_inst_7 : InnerProductSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6] (f : LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) 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(Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearMap.isometryOfOrthonormal.{u4, u3, u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι E' _inst_6 _inst_7 f v hv hf)) f
+Case conversion may be inaccurate. Consider using '#align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMapₓ'. -/
 @[simp]
 theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) :
@@ -1413,6 +2382,12 @@ theorem LinearMap.isometryOfOrthonormal_toLinearMap (f : E →ₗ[𝕜] E') {v :
   rfl
 #align linear_map.isometry_of_orthonormal_to_linear_map LinearMap.isometryOfOrthonormal_toLinearMap
 
+/- warning: linear_equiv.isometry_of_orthonormal -> LinearEquiv.isometryOfOrthonormal is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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_inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v)) -> (Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfOrthonormal._proof_3.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfOrthonormal._proof_4.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 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_inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfOrthonormal._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfOrthonormal._proof_8.{u1} 𝕜 _inst_1) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, succ u2} (Basis.{u3, u1, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u3, u1, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) -> (Orthonormal.{u1, u4, u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u3, succ u2, succ u4} ι E E' (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u2 u4, u1, u2, u4} (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u1, u4} 𝕜 E' (AddMonoid.toZero.{u4} E' (AddCommMonoid.toAddMonoid.{u4} E' (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' 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(NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u4, u1, u2, u4} (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))) (AddCommMonoid.toAddMonoid.{u4} E' (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u1, u4} 𝕜 E' (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u4, max u2 u4} 𝕜 E E' (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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_inst_7)))
+Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormalₓ'. -/
 /-- A linear equivalence that sends an orthonormal basis to orthonormal vectors is a linear
 isometric equivalence. -/
 def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -1423,12 +2398,24 @@ def LinearEquiv.isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜
       Finsupp.apply_total, hv.inner_finsupp_eq_sum_left, hf.inner_finsupp_eq_sum_left]
 #align linear_equiv.isometry_of_orthonormal LinearEquiv.isometryOfOrthonormal
 
+/- warning: linear_equiv.coe_isometry_of_orthonormal -> LinearEquiv.coe_isometryOfOrthonormal is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) => E -> E') (LinearEquiv.hasCoeToFun.{u1, u1, u2, u4} 𝕜 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) f)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {E' : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E'] [_inst_7 : InnerProductSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) (hf : Orthonormal.{u4, u2, u1} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u1, succ u3, succ u2} ι E E' (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u4, u3} 𝕜 E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribMulAction.toDistribSMul.{u4, u3} 𝕜 E (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E' (AddMonoid.toZero.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u4, u2} 𝕜 E' (AddMonoid.toAddZeroClass.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u4, u2} 𝕜 E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u4, u3, u2, max u3 u2} 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E E' (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (LinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u2} E' (PseudoMetricSpace.toUniformSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u2} E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u4, u4, u3, u2} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))))))) (LinearEquiv.isometryOfOrthonormal.{u4, u3, u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι E' _inst_6 _inst_7 f v hv hf)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 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(RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u4, u3} 𝕜 E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) 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(InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E' (AddMonoid.toZero.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u4, u2} 𝕜 E' (AddMonoid.toAddZeroClass.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u4, u2} 𝕜 E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' 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(NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u4, u3, u2, max u3 u2} 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormalₓ'. -/
 @[simp]
 theorem LinearEquiv.coe_isometryOfOrthonormal (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) : ⇑(f.isometryOfOrthonormal hv hf) = f :=
   rfl
 #align linear_equiv.coe_isometry_of_orthonormal LinearEquiv.coe_isometryOfOrthonormal
 
+/- warning: linear_equiv.isometry_of_orthonormal_to_linear_equiv -> LinearEquiv.isometryOfOrthonormal_toLinearEquiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E' (NormedAddCommGroup.toAddCommGroup.{u4} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) v))), Eq.{max (succ u2) (succ u4)} (LinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfOrthonormal._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfOrthonormal._proof_8.{u1} 𝕜 _inst_1) E E' (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E' (SeminormedAddCommGroup.toAddCommGroup.{u4} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometryEquiv.toLinearEquiv.{u1, u1, u2, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (LinearEquiv.isometryOfOrthonormal._proof_7.{u1} 𝕜 _inst_1) (LinearEquiv.isometryOfOrthonormal._proof_8.{u1} 𝕜 _inst_1) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u4} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearEquiv.isometryOfOrthonormal.{u1, u2, u3, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι E' _inst_6 _inst_7 f v hv hf)) f
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {E' : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E'] [_inst_7 : InnerProductSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6] (f : LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) {v : Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) (hf : Orthonormal.{u4, u2, u1} 𝕜 E' _inst_1 _inst_6 _inst_7 ι (Function.comp.{succ u1, succ u3, succ u2} ι E E' (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => E') _x) (SMulHomClass.toFunLike.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribSMul.toSMulZeroClass.{u4, u3} 𝕜 E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))) (DistribMulAction.toDistribSMul.{u4, u3} 𝕜 E (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E' (AddMonoid.toZero.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribSMul.toSMulZeroClass.{u4, u2} 𝕜 E' (AddMonoid.toAddZeroClass.{u2} E' (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)))) (DistribMulAction.toDistribSMul.{u4, u2} 𝕜 E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u4, u3, u2} (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 E E' (MonoidWithZero.toMonoid.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2))) (AddCommMonoid.toAddMonoid.{u2} E' (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6))) (Module.toDistribMulAction.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Module.toDistribMulAction.{u4, u2} 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (SemilinearMapClass.distribMulActionHomClass.{u4, u3, u2, max u3 u2} 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearEquivClass.instSemilinearMapClass.{u4, u4, u3, u2, max u3 u2} 𝕜 𝕜 E E' (LinearEquiv.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E' (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_6)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) 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+Case conversion may be inaccurate. Consider using '#align linear_equiv.isometry_of_orthonormal_to_linear_equiv LinearEquiv.isometryOfOrthonormal_toLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.isometryOfOrthonormal_toLinearEquiv (f : E ≃ₗ[𝕜] E') {v : Basis ι 𝕜 E}
     (hv : Orthonormal 𝕜 v) (hf : Orthonormal 𝕜 (f ∘ v)) :
@@ -1436,6 +2423,7 @@ theorem LinearEquiv.isometryOfOrthonormal_toLinearEquiv (f : E ≃ₗ[𝕜] E')
   rfl
 #align linear_equiv.isometry_of_orthonormal_to_linear_equiv LinearEquiv.isometryOfOrthonormal_toLinearEquiv
 
+#print Orthonormal.equiv /-
 /-- A linear isometric equivalence that sends an orthonormal basis to a given orthonormal basis. -/
 def Orthonormal.equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') : E ≃ₗᵢ[𝕜] E' :=
@@ -1447,7 +2435,14 @@ def Orthonormal.equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basi
       rw [h]
       exact hv'.comp _ e.injective)
 #align orthonormal.equiv Orthonormal.equiv
+-/
 
+/- warning: orthonormal.equiv_to_linear_equiv -> Orthonormal.equiv_toLinearEquiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {ι' : Type.{u4}} {E' : Type.{u5}} [_inst_6 : NormedAddCommGroup.{u5} E'] [_inst_7 : InnerProductSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6 _inst_7))} (hv' : Orthonormal.{u1, u5, u4} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' (coeFn.{max (succ u4) (succ u1) (succ u5), max (succ u4) (succ u5)} (Basis.{u4, u1, u5} ι' 𝕜 E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E' (NormedAddCommGroup.toAddCommGroup.{u5} E' _inst_6)) (NormedSpace.toModule.{u1, u5} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : Basis.{u4, u1, u5} ι' 𝕜 E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (AddCommGroup.toAddCommMonoid.{u5} E' (SeminormedAddCommGroup.toAddCommGroup.{u5} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u5} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6 _inst_7))) (LinearIsometryEquiv.toLinearEquiv.{u1, u1, u2, u5} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u5} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6 _inst_7)) (Orthonormal.equiv.{u1, u2, u3, u4, u5} 𝕜 E _inst_1 _inst_2 _inst_3 ι ι' E' _inst_6 _inst_7 v hv v' hv' e)) (Basis.equiv.{u3, u4, u1, u2, u5} ι ι' 𝕜 E E' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (AddCommGroup.toAddCommMonoid.{u5} E' (SeminormedAddCommGroup.toAddCommGroup.{u5} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6))) (NormedSpace.toModule.{u1, u5} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u5} 𝕜 E' _inst_1 _inst_6 _inst_7)) v v' e)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u5}} {ι' : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u5, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u5} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) 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(InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) v v' e)
+Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquivₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
@@ -1455,6 +2450,12 @@ theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal
   rfl
 #align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquiv
 
+/- warning: orthonormal.equiv_apply -> Orthonormal.equiv_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {E' : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} E'] [_inst_7 : InnerProductSpace.{u1, u4} 𝕜 E' _inst_1 _inst_6] {ι' : Type.{u5}} {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) 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+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] {ι' : Type.{u5}} {v : Basis.{u4, u3, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u3, u2, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u3) 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(RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{u3, u3, u2, u1, max u2 u1} 𝕜 𝕜 E E' (LinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{u3, u3, u2, u1} 𝕜 𝕜 E E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) 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(DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u4, u3, u2} ι 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) v i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u5), succ u5, succ u1} (Basis.{u5, u3, u1} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) ι' (fun (_x : ι') => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι') => E') _x) (Basis.funLike.{u5, u3, u1} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) v' (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (Equiv.{succ u4, succ u5} ι ι') ι (fun (_x : ι) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : ι) => ι') _x) (Equiv.instFunLikeEquiv.{succ u4, succ u5} ι ι') e i))
+Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_apply Orthonormal.equiv_applyₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') (i : ι) :
@@ -1462,6 +2463,12 @@ theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Ortho
   Basis.equiv_apply _ _ _ _
 #align orthonormal.equiv_apply Orthonormal.equiv_apply
 
+/- warning: orthonormal.equiv_refl -> Orthonormal.equiv_refl is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : Basis.{u3, u2, u1} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u3, succ u1} (Basis.{u3, u2, u1} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 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(DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) v)), Eq.{succ u1} (LinearIsometryEquiv.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (Orthonormal.equiv.{u2, u1, u3, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι ι E _inst_2 _inst_3 v hv v hv (Equiv.refl.{succ u3} ι)) (LinearIsometryEquiv.refl.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_refl Orthonormal.equiv_reflₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
     hv.Equiv hv (Equiv.refl ι) = LinearIsometryEquiv.refl 𝕜 E :=
@@ -1469,6 +2476,12 @@ theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
     simp only [Orthonormal.equiv_apply, Equiv.coe_refl, id.def, LinearIsometryEquiv.coe_refl]
 #align orthonormal.equiv_refl Orthonormal.equiv_refl
 
+/- warning: orthonormal.equiv_symm -> Orthonormal.equiv_symm is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u5}} {ι' : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u5, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u5} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) 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u3} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' ι E _inst_2 _inst_3 v' hv' v hv (Equiv.symm.{succ u5, succ u2} ι ι' e))
+Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_symm Orthonormal.equiv_symmₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') : (hv.Equiv hv' e).symm = hv'.Equiv hv e.symm :=
@@ -1477,6 +2490,12 @@ theorem Orthonormal.equiv_symm {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {
       simp only [LinearIsometryEquiv.apply_symm_apply, Orthonormal.equiv_apply, e.apply_symm_apply]
 #align orthonormal.equiv_symm Orthonormal.equiv_symm
 
+/- warning: orthonormal.equiv_trans -> Orthonormal.equiv_trans is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {ι' : Type.{u4}} {ι'' : Type.{u5}} {E' : Type.{u6}} [_inst_6 : NormedAddCommGroup.{u6} E'] [_inst_7 : InnerProductSpace.{u1, u6} 𝕜 E' _inst_1 _inst_6] {E'' : Type.{u7}} [_inst_8 : NormedAddCommGroup.{u7} E''] [_inst_9 : InnerProductSpace.{u1, u7} 𝕜 E'' _inst_1 _inst_8] {v : Basis.{u3, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 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_inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} E' _inst_6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} E'' _inst_8) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u6} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u6} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u7} 𝕜 E'' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u1, u7} 𝕜 E'' _inst_1 _inst_8 _inst_9)) (Orthonormal.equiv.{u1, u2, u3, u4, u6} 𝕜 E _inst_1 _inst_2 _inst_3 ι ι' E' _inst_6 _inst_7 v hv v' hv' e) (Orthonormal.equiv.{u1, u6, u4, u5, u7} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' ι'' E'' _inst_8 _inst_9 v' hv' v'' hv'' e')) (Orthonormal.equiv.{u1, u2, u3, u5, u7} 𝕜 E _inst_1 _inst_2 _inst_3 ι ι'' E'' _inst_8 _inst_9 v hv v'' hv'' (Equiv.trans.{succ u3, succ u4, succ u5} ι ι' ι'' e e'))
+but is expected to have type
+  forall {𝕜 : Type.{u6}} {E : Type.{u5}} [_inst_1 : IsROrC.{u6} 𝕜] [_inst_2 : NormedAddCommGroup.{u5} E] [_inst_3 : InnerProductSpace.{u6, u5} 𝕜 E _inst_1 _inst_2] {ι : Type.{u7}} {ι' : Type.{u4}} {ι'' : Type.{u2}} {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6] {E'' : Type.{u1}} [_inst_8 : NormedAddCommGroup.{u1} E''] [_inst_9 : InnerProductSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8] {v : Basis.{u7, u6, u5} ι 𝕜 E (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E (NormedAddCommGroup.toAddCommGroup.{u5} E _inst_2)) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u6, u5, u7} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u6) (succ u5)) (succ u7), succ u7, succ u5} (Basis.{u7, u6, u5} ι 𝕜 E (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E (NormedAddCommGroup.toAddCommGroup.{u5} E _inst_2)) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3))) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u7, u6, u5} ι 𝕜 E (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u5} E (NormedAddCommGroup.toAddCommGroup.{u5} E _inst_2)) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) {v' : Basis.{u4, u6, u3} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u6, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))} (hv' : Orthonormal.{u6, u3, u4} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' (FunLike.coe.{max (max (succ u6) (succ u4)) (succ u3), succ u4, succ u3} (Basis.{u4, u6, u3} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u6, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) ι' (fun (_x : ι') => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι') => E') _x) (Basis.funLike.{u4, u6, u3} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u6, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u6, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) v')) (e : Equiv.{succ u7, succ u4} ι ι') {v'' : Basis.{u2, u6, u1} ι'' 𝕜 E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E'' (NormedAddCommGroup.toAddCommGroup.{u1} E'' _inst_8)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))} (hv'' : Orthonormal.{u6, u1, u2} 𝕜 E'' _inst_1 _inst_8 _inst_9 ι'' (FunLike.coe.{max (max (succ u6) (succ u2)) (succ u1), succ u2, succ u1} (Basis.{u2, u6, u1} ι'' 𝕜 E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E'' (NormedAddCommGroup.toAddCommGroup.{u1} E'' _inst_8)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))) ι'' (fun (_x : ι'') => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι'') => E'') _x) (Basis.funLike.{u2, u6, u1} ι'' 𝕜 E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E'' (NormedAddCommGroup.toAddCommGroup.{u1} E'' _inst_8)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))) v'')) (e' : Equiv.{succ u4, succ u2} ι' ι''), Eq.{max (succ u5) (succ u1)} (LinearIsometryEquiv.{u6, u6, u5, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) E E'' (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (NormedSpace.toModule.{u6, u5} 𝕜 E (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} E _inst_2) (InnerProductSpace.toNormedSpace.{u6, u5} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u6, u1} 𝕜 E'' (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E'' _inst_8) (InnerProductSpace.toNormedSpace.{u6, u1} 𝕜 E'' _inst_1 _inst_8 _inst_9))) (LinearIsometryEquiv.trans.{u6, u6, u6, u5, u3, u1} 𝕜 𝕜 𝕜 E E' E'' (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHom.id.{u6} 𝕜 (Semiring.toNonAssocSemiring.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u6} 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 (DenselyNormedField.toNormedField.{u6} 𝕜 (IsROrC.toDenselyNormedField.{u6} 𝕜 _inst_1))))))) (RingHomCompTriple.ids.{u6, u6} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u6} 𝕜 (Semifield.toDivisionSemiring.{u6} 𝕜 (Field.toSemifield.{u6} 𝕜 (NormedField.toField.{u6} 𝕜 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+Case conversion may be inaccurate. Consider using '#align orthonormal.equiv_trans Orthonormal.equiv_transₓ'. -/
 @[simp]
 theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') {v'' : Basis ι'' 𝕜 E''} (hv'' : Orthonormal 𝕜 v'')
@@ -1485,6 +2504,12 @@ theorem Orthonormal.equiv_trans {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     simp only [LinearIsometryEquiv.trans_apply, Orthonormal.equiv_apply, e.coe_trans]
 #align orthonormal.equiv_trans Orthonormal.equiv_trans
 
+/- warning: orthonormal.map_equiv -> Orthonormal.map_equiv is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u5}} {ι' : Type.{u2}} {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6] {v : Basis.{u5, u4, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))} (hv : Orthonormal.{u4, u3, u5} 𝕜 E _inst_1 _inst_2 _inst_3 ι (FunLike.coe.{max (max (succ u4) 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(NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) v)) {v' : Basis.{u2, u4, u1} ι' 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))} (hv' : Orthonormal.{u4, u1, u2} 𝕜 E' _inst_1 _inst_6 _inst_7 ι' (FunLike.coe.{max (max 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(DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))))) E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (Orthonormal.equiv.{u4, u3, u5, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι ι' E' _inst_6 _inst_7 v hv v' hv' e))) (Basis.reindex.{u2, u5, u4, u1} ι' ι 𝕜 E' (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u4, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u4, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) v' (Equiv.symm.{succ u5, succ u2} ι ι' e))
+Case conversion may be inaccurate. Consider using '#align orthonormal.map_equiv Orthonormal.map_equivₓ'. -/
 theorem Orthonormal.map_equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v' : Basis ι' 𝕜 E'}
     (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') :
     v.map (hv.Equiv hv' e).toLinearEquiv = v'.reindex e.symm :=
@@ -1493,6 +2518,12 @@ theorem Orthonormal.map_equiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) {v
 
 end
 
+/- warning: real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two -> real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))
+Case conversion may be inaccurate. Consider using '#align real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real inner product, in terms of the norm. -/
 theorem real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : F) :
     ⟪x, y⟫_ℝ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 :=
@@ -1500,6 +2531,12 @@ theorem real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_
     re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two x y
 #align real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
+/- warning: real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two -> real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)))) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.instSubReal) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)))) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))
+Case conversion may be inaccurate. Consider using '#align real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_twoₓ'. -/
 /-- Polarization identity: The real inner product, in terms of the norm. -/
 theorem real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : F) :
     ⟪x, y⟫_ℝ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 :=
@@ -1507,6 +2544,12 @@ theorem real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_
     re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two x y
 #align real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
+/- warning: norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero -> norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)))
+Case conversion may be inaccurate. Consider using '#align norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, if-and-only-if vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ = 0 :=
@@ -1515,6 +2558,12 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
   norm_num
 #align norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
 
+/- warning: norm_add_eq_sqrt_iff_real_inner_eq_zero -> norm_add_eq_sqrt_iff_real_inner_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Real.sqrt (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Real.sqrt (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)))
+Case conversion may be inaccurate. Consider using '#align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, if-and-if vector inner product form using square roots. -/
 theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     ‖x + y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
@@ -1522,6 +2571,12 @@ theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zero
 
+/- warning: norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero -> norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) -> (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) -> (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))))
+Case conversion may be inaccurate. Consider using '#align norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x, y⟫ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
@@ -1531,12 +2586,24 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x,
   simp only [h, zero_re']
 #align norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero
 
+/- warning: norm_add_sq_eq_norm_sq_add_norm_sq_real -> norm_add_sq_eq_norm_sq_add_norm_sq_real is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))))
+Case conversion may be inaccurate. Consider using '#align norm_add_sq_eq_norm_sq_add_norm_sq_real norm_add_sq_eq_norm_sq_add_norm_sq_realₓ'. -/
 /-- Pythagorean theorem, vector inner product form. -/
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
   (norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero x y).2 h
 #align norm_add_sq_eq_norm_sq_add_norm_sq_real norm_add_sq_eq_norm_sq_add_norm_sq_real
 
+/- warning: norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero -> norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)))
+Case conversion may be inaccurate. Consider using '#align norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, subtracting vectors, if-and-only-if vector
 inner product form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
@@ -1547,6 +2614,12 @@ theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
   norm_num
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
 
+/- warning: norm_sub_eq_sqrt_iff_real_inner_eq_zero -> norm_sub_eq_sqrt_iff_real_inner_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Real.sqrt (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Real.sqrt (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))))) (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)))
+Case conversion may be inaccurate. Consider using '#align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zeroₓ'. -/
 /-- Pythagorean theorem, subtracting vectors, if-and-if vector inner product form using square
 roots. -/
 theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
@@ -1555,6 +2628,12 @@ theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zero
 
+/- warning: norm_sub_sq_eq_norm_sq_add_norm_sq_real -> norm_sub_sq_eq_norm_sq_add_norm_sq_real is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{1} Real (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))))
+Case conversion may be inaccurate. Consider using '#align norm_sub_sq_eq_norm_sq_add_norm_sq_real norm_sub_sq_eq_norm_sq_add_norm_sq_realₓ'. -/
 /-- Pythagorean theorem, subtracting vectors, vector inner product
 form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ = 0) :
@@ -1562,6 +2641,12 @@ theorem norm_sub_sq_eq_norm_sq_add_norm_sq_real {x y : F} (h : ⟪x, y⟫_ℝ =
   (norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero x y).2 h
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_real norm_sub_sq_eq_norm_sq_add_norm_sq_real
 
+/- warning: real_inner_add_sub_eq_zero_iff -> real_inner_add_sub_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toHasAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))))) x y) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) x y)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))
+Case conversion may be inaccurate. Consider using '#align real_inner_add_sub_eq_zero_iff real_inner_add_sub_eq_zero_iffₓ'. -/
 /-- The sum and difference of two vectors are orthogonal if and only
 if they have the same norm. -/
 theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 ↔ ‖x‖ = ‖y‖ :=
@@ -1577,6 +2662,12 @@ theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 
     linarith
 #align real_inner_add_sub_eq_zero_iff real_inner_add_sub_eq_zero_iff
 
+/- warning: norm_sub_eq_norm_add -> norm_sub_eq_norm_add is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {v : E} {w : E}, (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) -> (Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) w v)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) w v)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {v : E} {w : E}, (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v w) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) -> (Eq.{1} Real (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))) w v)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (NormedAddGroup.toAddGroup.{u1} E (NormedAddCommGroup.toNormedAddGroup.{u1} E _inst_2))))))) w v)))
+Case conversion may be inaccurate. Consider using '#align norm_sub_eq_norm_add norm_sub_eq_norm_addₓ'. -/
 /-- Given two orthogonal vectors, their sum and difference have equal norms. -/
 theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w + v‖ :=
   by
@@ -1586,6 +2677,12 @@ theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w
     zero_add]
 #align norm_sub_eq_norm_add norm_sub_eq_norm_add
 
+/- warning: abs_real_inner_div_norm_mul_norm_le_one -> abs_real_inner_div_norm_mul_norm_le_one is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.hasLe (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), LE.le.{0} Real Real.instLEReal (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_oneₓ'. -/
 /-- The real inner product of two vectors, divided by the product of their
 norms, has absolute value at most 1. -/
 theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| ≤ 1 :=
@@ -1594,16 +2691,34 @@ theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (
   exact div_le_one_of_le (abs_real_inner_le_norm x y) (by positivity)
 #align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_one
 
+/- warning: real_inner_smul_self_left -> real_inner_smul_self_left is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)))
+Case conversion may be inaccurate. Consider using '#align real_inner_smul_self_left real_inner_smul_self_leftₓ'. -/
 /-- The inner product of a vector with a multiple of itself. -/
 theorem real_inner_smul_self_left (x : F) (r : ℝ) : ⟪r • x, x⟫_ℝ = r * (‖x‖ * ‖x‖) := by
   rw [real_inner_smul_left, ← real_inner_self_eq_norm_mul_norm]
 #align real_inner_smul_self_left real_inner_smul_self_left
 
+/- warning: real_inner_smul_self_right -> real_inner_smul_self_right is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x)))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (r : Real), Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x)))
+Case conversion may be inaccurate. Consider using '#align real_inner_smul_self_right real_inner_smul_self_rightₓ'. -/
 /-- The inner product of a vector with a multiple of itself. -/
 theorem real_inner_smul_self_right (x : F) (r : ℝ) : ⟪x, r • x⟫_ℝ = r * (‖x‖ * ‖x‖) := by
   rw [inner_smul_right, ← real_inner_self_eq_norm_mul_norm]
 #align real_inner_smul_self_right real_inner_smul_self_right
 
+/- warning: norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul -> norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {r : 𝕜}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) -> (Ne.{succ u1} 𝕜 r (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r x)))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {r : 𝕜}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (Ne.{succ u1} 𝕜 r (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x)))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))
+Case conversion may be inaccurate. Consider using '#align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulₓ'. -/
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
@@ -1617,6 +2732,12 @@ theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r
     div_self hx']
 #align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
+/- warning: abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul -> abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) -> (Ne.{1} Real r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) -> (Ne.{1} Real r (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))
+Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulₓ'. -/
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
@@ -1625,6 +2746,12 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : F
   norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
+/- warning: real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul -> real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) -> (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) -> (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))
+Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mulₓ'. -/
 /-- The inner product of a nonzero vector with a positive multiple of
 itself, divided by the product of their norms, has value 1. -/
 theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : ℝ} (hx : x ≠ 0)
@@ -1635,6 +2762,12 @@ theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : 
   exact mul_ne_zero hr.ne' (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul
 
+/- warning: real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul -> real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) -> (LT.lt.{0} Real Real.hasLt r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {r : Real}, (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) -> (LT.lt.{0} Real Real.instLTReal r (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)))) (Neg.neg.{0} Real Real.instNegReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))))
+Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mulₓ'. -/
 /-- The inner product of a nonzero vector with a negative multiple of
 itself, divided by the product of their norms, has value -1. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r : ℝ} (hx : x ≠ 0)
@@ -1645,7 +2778,13 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r
   exact mul_ne_zero hr.ne (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul
 
-theorem norm_inner_eq_norm_tFAE (x y : E) :
+/- warning: norm_inner_eq_norm_tfae -> norm_inner_eq_norm_tfae is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), List.TFAE (List.cons.{0} Prop (Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))) (List.cons.{0} Prop (Or (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Eq.{succ 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) x))) (List.cons.{0} Prop (Or (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E 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(SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r x)))) (List.cons.{0} Prop (Or (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) y (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (List.nil.{0} Prop)))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), List.TFAE (List.cons.{0} Prop (Eq.{1} Real (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))) (List.cons.{0} Prop (Or (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (Eq.{succ u1} E y (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (Field.toDiv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x x)) x))) (List.cons.{0} Prop (Or (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (Exists.{succ u2} 𝕜 (fun (r : 𝕜) => Eq.{succ u1} E y (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x)))) (List.cons.{0} Prop (Or (Eq.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) y (Submodule.span.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (Singleton.singleton.{u1, u1} E (Set.{u1} E) (Set.instSingletonSet.{u1} E) x)))) (List.nil.{0} Prop)))))
+Case conversion may be inaccurate. Consider using '#align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfaeₓ'. -/
+theorem norm_inner_eq_norm_tfae (x y : E) :
     TFAE
       [‖⟪x, y⟫‖ = ‖x‖ * ‖y‖, x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫) • x, x = 0 ∨ ∃ r : 𝕜, y = r • x,
         x = 0 ∨ y ∈ 𝕜 ∙ x] :=
@@ -1669,8 +2808,14 @@ theorem norm_inner_eq_norm_tFAE (x y : E) :
         sq, mul_left_comm]
   tfae_have 3 ↔ 4; · simp only [Submodule.mem_span_singleton, eq_comm]
   tfae_finish
-#align norm_inner_eq_norm_tfae norm_inner_eq_norm_tFAE
-
+#align norm_inner_eq_norm_tfae norm_inner_eq_norm_tfae
+
+/- warning: norm_inner_eq_norm_iff -> norm_inner_eq_norm_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) -> (Iff (Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))) (Exists.{succ u1} 𝕜 (fun (r : 𝕜) => And (Ne.{succ u1} 𝕜 r (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Eq.{succ u2} E y (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (Iff (Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y))) (Exists.{succ u1} 𝕜 (fun (r : 𝕜) => And (Ne.{succ u1} 𝕜 r (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Eq.{succ u2} E y (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x)))))
+Case conversion may be inaccurate. Consider using '#align norm_inner_eq_norm_iff norm_inner_eq_norm_iffₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms, then the two vectors
 are multiples of each other. One form of the equality case for Cauchy-Schwarz.
 Compare `inner_eq_norm_mul_iff`, which takes the stronger hypothesis `⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
@@ -1678,7 +2823,7 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
     ‖⟪x, y⟫‖ = ‖x‖ * ‖y‖ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
   calc
     ‖⟪x, y⟫‖ = ‖x‖ * ‖y‖ ↔ x = 0 ∨ ∃ r : 𝕜, y = r • x :=
-      (@norm_inner_eq_norm_tFAE 𝕜 _ _ _ _ x y).out 0 2
+      (@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 2
     _ ↔ ∃ r : 𝕜, y = r • x := (or_iff_right hx₀)
     _ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
       ⟨fun ⟨r, h⟩ => ⟨r, fun hr₀ => hy₀ <| h.symm ▸ smul_eq_zero.2 <| Or.inl hr₀, h⟩,
@@ -1686,6 +2831,12 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
     
 #align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
 
+/- warning: norm_inner_div_norm_mul_norm_eq_one_iff -> norm_inner_div_norm_mul_norm_eq_one_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Iff (Eq.{1} Real (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) (And (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Exists.{succ u1} 𝕜 (fun (r : 𝕜) => And (Ne.{succ u1} 𝕜 r (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))) (Eq.{succ u2} E y (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) r x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Iff (Eq.{1} Real (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (Field.toDiv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) (And (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))))))) (Exists.{succ u2} 𝕜 (fun (r : 𝕜) => And (Ne.{succ u2} 𝕜 r (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (Eq.{succ u1} E y (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) r x)))))
+Case conversion may be inaccurate. Consider using '#align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
@@ -1703,6 +2854,12 @@ theorem norm_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     exact norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iff
 
+/- warning: abs_real_inner_div_norm_mul_norm_eq_one_iff -> abs_real_inner_div_norm_mul_norm_eq_one_iff is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.hasNeg Real.hasSup) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y)))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) (And (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) (Exists.{1} Real (fun (r : Real) => And (Ne.{1} Real r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (Eq.{succ u1} F y (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (Abs.abs.{0} Real (Neg.toHasAbs.{0} Real Real.instNegReal Real.instSupReal) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y)))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) (And (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) (Exists.{1} Real (fun (r : Real) => And (Ne.{1} Real r (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) (Eq.{succ u1} F y (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)))))
+Case conversion may be inaccurate. Consider using '#align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
@@ -1711,6 +2868,12 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
   @norm_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ _ x y
 #align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iff
 
+/- warning: inner_eq_norm_mul_iff_div -> inner_eq_norm_mul_iff_div is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) -> (Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y)))) (Eq.{succ u2} E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x))) x) y))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x)) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y)))) (Eq.{succ u2} E (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (Field.toDiv.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y)) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x))) x) y))
+Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_divₓ'. -/
 theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y :=
   by
@@ -1718,13 +2881,19 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
   rw [← norm_ne_zero_iff, Ne.def, ← @of_real_eq_zero 𝕜] at h₀'
   constructor <;> intro h
   · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
-      ((@norm_inner_eq_norm_tFAE 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
+      ((@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
     rw [this.resolve_left h₀, h]
-    simp [norm_smul, inner_self_norm_to_K, h₀']
+    simp [norm_smul, inner_self_ofReal_norm, h₀']
   · conv_lhs => rw [← h, inner_smul_right, inner_self_eq_norm_sq_to_K]
     field_simp [sq, mul_left_comm]
 #align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
 
+/- warning: inner_eq_norm_mul_iff -> inner_eq_norm_mul_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y)))) (Eq.{succ u2} E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y)) x) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)) y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, Iff (Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (HMul.hMul.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHMul.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y)))) (Eq.{succ u1} E (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) y)) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.ofReal.{u2} 𝕜 _inst_1 (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)) y))
+Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff inner_eq_norm_mul_iffₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
 of the equality case for Cauchy-Schwarz.
@@ -1738,6 +2907,12 @@ theorem inner_eq_norm_mul_iff {x y : E} :
     rwa [Ne.def, of_real_eq_zero, norm_eq_zero]
 #align inner_eq_norm_mul_iff inner_eq_norm_mul_iff
 
+/- warning: inner_eq_norm_mul_iff_real -> inner_eq_norm_mul_iff_real is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (Eq.{succ u1} F (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) x) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (Eq.{succ u1} F (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) x) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) y))
+Case conversion may be inaccurate. Consider using '#align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_realₓ'. -/
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
 `⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
 of the equality case for Cauchy-Schwarz.
@@ -1746,6 +2921,12 @@ theorem inner_eq_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ = ‖x‖ * ‖y
   inner_eq_norm_mul_iff
 #align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_real
 
+/- warning: real_inner_div_norm_mul_norm_eq_one_iff -> real_inner_div_norm_mul_norm_eq_one_iff is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) (And (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) (Exists.{1} Real (fun (r : Real) => And (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) (Eq.{succ u1} F y (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) (And (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) (Exists.{1} Real (fun (r : Real) => And (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (Eq.{succ u1} F y (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)))))
+Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_one_iff real_inner_div_norm_mul_norm_eq_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has value 1 if and only if they are nonzero and one is
 a positive multiple of the other. -/
@@ -1762,6 +2943,12 @@ theorem real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
     exact real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul hx hr
 #align real_inner_div_norm_mul_norm_eq_one_iff real_inner_div_norm_mul_norm_eq_one_iff
 
+/- warning: real_inner_div_norm_mul_norm_eq_neg_one_iff -> real_inner_div_norm_mul_norm_eq_neg_one_iff is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (And (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (OfNat.mk.{u1} F 0 (Zero.zero.{u1} F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4)))))))))) (Exists.{1} Real (fun (r : Real) => And (LT.lt.{0} Real Real.hasLt r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (Eq.{succ u1} F y (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) r x)))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] (x : F) (y : F), Iff (Eq.{1} Real (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (Neg.neg.{0} Real Real.instNegReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (And (Ne.{succ u1} F x (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))))))) (Exists.{1} Real (fun (r : Real) => And (LT.lt.{0} Real Real.instLTReal r (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) (Eq.{succ u1} F y (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) r x)))))
+Case conversion may be inaccurate. Consider using '#align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iffₓ'. -/
 /-- The inner product of two vectors, divided by the product of their
 norms, has value -1 if and only if they are nonzero and one is
 a negative multiple of the other. -/
@@ -1774,12 +2961,24 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_iff (x y : F) :
   rw [neg_pos, neg_smul, neg_inj]
 #align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iff
 
+/- warning: inner_eq_one_iff_of_norm_one -> inner_eq_one_iff_of_norm_one is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) -> (Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) y) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) -> (Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))))) (Eq.{succ u2} E x y))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {x : E} {y : E}, (Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) -> (Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) y) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) -> (Iff (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (Eq.{succ u2} E x y))
+Case conversion may be inaccurate. Consider using '#align inner_eq_one_iff_of_norm_one inner_eq_one_iff_of_norm_oneₓ'. -/
 /-- If the inner product of two unit vectors is `1`, then the two vectors are equal. One form of
 the equality case for Cauchy-Schwarz. -/
 theorem inner_eq_one_iff_of_norm_one {x y : E} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) : ⟪x, y⟫ = 1 ↔ x = y :=
   by convert inner_eq_norm_mul_iff using 2 <;> simp [hx, hy]
 #align inner_eq_one_iff_of_norm_one inner_eq_one_iff_of_norm_one
 
+/- warning: inner_lt_norm_mul_iff_real -> inner_lt_norm_mul_iff_real is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (LT.lt.{0} Real Real.hasLt (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y))) (Ne.{succ u1} F (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) x) (SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC))))))) (AddZeroClass.toHasZero.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)))))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4))) (NormedSpace.toModule.{0, u1} Real F (DenselyNormedField.toNormedField.{0} Real (IsROrC.toDenselyNormedField.{0} Real Real.isROrC)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5)))))) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, Iff (LT.lt.{0} Real Real.instLTReal (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y))) (Ne.{succ u1} F (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) x) (HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real F Real.instZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)))))) (Module.toMulActionWithZero.{0, u1} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) (InnerProductSpace.toNormedSpace.{0, u1} Real F Real.isROrC _inst_4 _inst_5))))))) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) y))
+Case conversion may be inaccurate. Consider using '#align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_realₓ'. -/
 theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ‖y‖ • x ≠ ‖x‖ • y :=
   calc
     ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ ≠ ‖x‖ * ‖y‖ :=
@@ -1788,12 +2987,24 @@ theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y
     
 #align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_real
 
+/- warning: inner_lt_one_iff_real_of_norm_one -> inner_lt_one_iff_real_of_norm_one is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) x) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) -> (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) y) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) -> (Iff (LT.lt.{0} Real Real.hasLt (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) (Ne.{succ u1} F x y))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {x : F} {y : F}, (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) x) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) -> (Eq.{1} Real (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) y) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) -> (Iff (LT.lt.{0} Real Real.instLTReal (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) x y) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) (Ne.{succ u1} F x y))
+Case conversion may be inaccurate. Consider using '#align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_oneₓ'. -/
 /-- If the inner product of two unit vectors is strictly less than `1`, then the two vectors are
 distinct. One form of the equality case for Cauchy-Schwarz. -/
 theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) :
     ⟪x, y⟫_ℝ < 1 ↔ x ≠ y := by convert inner_lt_norm_mul_iff_real <;> simp [hx, hy]
 #align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_one
 
+/- warning: inner_sum_smul_sum_smul_of_sum_eq_zero -> inner_sum_smul_sum_smul_of_sum_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {ι₁ : Type.{u2}} {s₁ : Finset.{u2} ι₁} {w₁ : ι₁ -> Real} (v₁ : ι₁ -> F), (Eq.{1} Real (Finset.sum.{0, u2} Real ι₁ Real.addCommMonoid s₁ (fun (i : ι₁) => w₁ i)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (forall {ι₂ : Type.{u3}} {s₂ : Finset.{u3} ι₂} {w₂ : ι₂ -> Real} (v₂ : ι₂ -> F), (Eq.{1} Real (Finset.sum.{0, u3} Real ι₂ Real.addCommMonoid s₂ (fun (i : ι₂) => w₂ i)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toHasInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (Finset.sum.{u1, u2} F ι₁ (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) s₁ (fun (i₁ : ι₁) => SMul.smul.{0, u1} Real F (SMulZeroClass.toHasSmul.{0, u1} Real F (AddZeroClass.toHasZero.{u1} F 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(instHMul.{0} Real Real.hasMul) (w₁ i₁) (w₂ i₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (v₁ i₁) (v₂ i₂))) (Norm.norm.{u1} F (NormedAddCommGroup.toHasNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toHasSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (v₁ i₁) (v₂ i₂)))))))) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))))))
+but is expected to have type
+  forall {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : InnerProductSpace.{0, u1} Real F Real.isROrC _inst_4] {ι₁ : Type.{u3}} {s₁ : Finset.{u3} ι₁} {w₁ : ι₁ -> Real} (v₁ : ι₁ -> F), (Eq.{1} Real (Finset.sum.{0, u3} Real ι₁ Real.instAddCommMonoidReal s₁ (fun (i : ι₁) => w₁ i)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (forall {ι₂ : Type.{u2}} {s₂ : Finset.{u2} ι₂} {w₂ : ι₂ -> Real} (v₂ : ι₂ -> F), (Eq.{1} Real (Finset.sum.{0, u2} Real ι₂ Real.instAddCommMonoidReal s₂ (fun (i : ι₂) => w₂ i)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{1} Real (Inner.inner.{0, u1} Real F (InnerProductSpace.toInner.{0, u1} Real F Real.isROrC _inst_4 _inst_5) (Finset.sum.{u1, u3} F ι₁ (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) s₁ (fun (i₁ : ι₁) => HSMul.hSMul.{0, u1, u1} Real F F (instHSMul.{0, u1} Real F (SMulZeroClass.toSMul.{0, u1} Real F (NegZeroClass.toZero.{u1} F 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(instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))))
+Case conversion may be inaccurate. Consider using '#align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zeroₓ'. -/
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
 theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
@@ -1812,22 +3023,37 @@ theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset 
 
 variable (𝕜)
 
+#print innerₛₗ /-
 /-- The inner product as a sesquilinear map. -/
 def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
   LinearMap.mk₂'ₛₗ _ _ (fun v w => ⟪v, w⟫) inner_add_left (fun _ _ _ => inner_smul_left _ _ _)
     inner_add_right fun _ _ _ => inner_smul_right _ _ _
 #align innerₛₗ innerₛₗ
+-/
 
+/- warning: innerₛₗ_apply_coe -> innerₛₗ_apply_coe is a dubious translation:
+lean 3 declaration is
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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) (fun (_x : LinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) => E -> (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (LinearMap.hasCoeToFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 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(innerₛₗ._proof_1.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1))) (innerₛₗ.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v)) (fun (w : E) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (v : E), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : E), (fun (x._@.Mathlib.LinearAlgebra.Dual._hyg.172 : E) => 𝕜) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 E (LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) 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(NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (LinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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+Case conversion may be inaccurate. Consider using '#align innerₛₗ_apply_coe innerₛₗ_apply_coeₓ'. -/
 @[simp]
 theorem innerₛₗ_apply_coe (v : E) : ⇑(innerₛₗ 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply_coe innerₛₗ_apply_coe
 
+/- warning: innerₛₗ_apply -> innerₛₗ_apply is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (v : E) (w : E), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) (fun (_x : LinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1))) => E -> (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (LinearMap.hasCoeToFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 E (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 E 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerₛₗ._proof_1.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1))) (innerₛₗ.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v) w) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (v : E) (w : E), Eq.{succ u2} ((fun (x._@.Mathlib.LinearAlgebra.Dual._hyg.172 : E) => 𝕜) w) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) v) E (fun (_x : E) => (fun (x._@.Mathlib.LinearAlgebra.Dual._hyg.172 : E) => 𝕜) _x) (Module.Dual.instFunLikeDual.{u2, u1} 𝕜 E (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (LinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => LinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (LinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 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(CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1))) (innerₛₗ.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v) w) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
+Case conversion may be inaccurate. Consider using '#align innerₛₗ_apply innerₛₗ_applyₓ'. -/
 @[simp]
 theorem innerₛₗ_apply (v w : E) : innerₛₗ 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply innerₛₗ_apply
 
+#print innerSL /-
 /-- The inner product as a continuous sesquilinear map. Note that `to_dual_map` (resp. `to_dual`)
 in `inner_product_space.dual` is a version of this given as a linear isometry (resp. linear
 isometric equivalence). -/
@@ -1835,17 +3061,36 @@ def innerSL : E →L⋆[𝕜] E →L[𝕜] 𝕜 :=
   LinearMap.mkContinuous₂ (innerₛₗ 𝕜) 1 fun x y => by
     simp only [norm_inner_le_norm, one_mul, innerₛₗ_apply]
 #align innerSL innerSL
+-/
 
+/- warning: innerSL_apply_coe -> innerSL_apply_coe is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (v : E), Eq.{max (succ u2) (succ u1)} (E -> 𝕜) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => E -> 𝕜) (ContinuousLinearMap.toFun.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (coeFn.{max (succ u2) (succ (max u2 u1)), max (succ u2) (succ (max u2 u1))} (ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E 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_inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (innerSL.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v)) (fun (w : E) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (v : E), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => 𝕜) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 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_inst_1))))) v) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) v) E 𝕜 (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E 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_inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 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+Case conversion may be inaccurate. Consider using '#align innerSL_apply_coe innerSL_apply_coeₓ'. -/
 @[simp]
 theorem innerSL_apply_coe (v : E) : ⇑(innerSL 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerSL_apply_coe innerSL_apply_coe
 
+/- warning: innerSL_apply -> innerSL_apply is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (v : E) (w : E), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => E -> 𝕜) (ContinuousLinearMap.toFun.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (coeFn.{max (succ u2) (succ (max u2 u1)), max (succ u2) (succ (max u2 u1))} (ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (innerSL.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v) w) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) v w)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (v : E) (w : E), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => 𝕜) w) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) v) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) v) E 𝕜 (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E 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(PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) 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+Case conversion may be inaccurate. Consider using '#align innerSL_apply innerSL_applyₓ'. -/
 @[simp]
 theorem innerSL_apply (v w : E) : innerSL 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerSL_apply innerSL_apply
 
+/- warning: innerSL_apply_norm -> innerSL_apply_norm is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (Norm.norm.{max u2 u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (innerSL.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (Norm.norm.{max u2 u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) x) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u2} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 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(NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (innerSL.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x)
+Case conversion may be inaccurate. Consider using '#align innerSL_apply_norm innerSL_apply_normₓ'. -/
 /-- `innerSL` is an isometry. Note that the associated `linear_isometry` is defined in
 `inner_product_space.dual` as `to_dual_map`.  -/
 @[simp]
@@ -1863,12 +3108,20 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ :=
       
 #align innerSL_apply_norm innerSL_apply_norm
 
+#print innerSLFlip /-
 /-- The inner product as a continuous sesquilinear map, with the two arguments flipped. -/
 def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
   @ContinuousLinearMap.flipₗᵢ' 𝕜 𝕜 𝕜 E E 𝕜 _ _ _ _ _ _ _ _ _ (RingHom.id 𝕜) (starRingEnd 𝕜) _ _
     (innerSL 𝕜)
 #align innerSL_flip innerSLFlip
+-/
 
+/- warning: innerSL_flip_apply -> innerSLFlip_apply is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E 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(SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSLFlip._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_3.{u1} 𝕜 _inst_1) (innerSLFlip._proof_4.{u1} 𝕜 _inst_1) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (innerSLFlip._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSLFlip._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_3.{u1} 𝕜 _inst_1) (innerSLFlip._proof_4.{u1} 𝕜 _inst_1) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (innerSLFlip._proof_5.{u1} 𝕜 _inst_1))) => E -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u2, max u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSLFlip._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSLFlip._proof_3.{u1} 𝕜 _inst_1) (innerSLFlip._proof_4.{u1} 𝕜 _inst_1) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (innerSLFlip._proof_5.{u1} 𝕜 _inst_1))) (innerSLFlip.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x) y) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) y x)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => 𝕜) y) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 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(x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) x) E 𝕜 (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 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(IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 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(DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) E (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (ContinuousLinearMap.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u2, u2, u1, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u1, u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u2, u2, u2, u1, u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (smulCommClass_self.{u2, u2} 𝕜 𝕜 (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u2, u2} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u2, u2} 𝕜 𝕜 (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u2, u2} 𝕜 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u2, u2} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))) (starRingEnd.{u2} 𝕜 (Semifield.toCommSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u2} 𝕜 _inst_1)) (TopologicalSemiring.toContinuousAdd.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u2} 𝕜 (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (innerSLFlip.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) x) y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) y x)
+Case conversion may be inaccurate. Consider using '#align innerSL_flip_apply innerSLFlip_applyₓ'. -/
 @[simp]
 theorem innerSLFlip_apply (x y : E) : innerSLFlip 𝕜 x y = ⟪y, x⟫ :=
   rfl
@@ -1880,18 +3133,32 @@ namespace ContinuousLinearMap
 
 variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
+#print ContinuousLinearMap.toSesqForm /-
 /-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `λ x y, ⟪x, A y⟫`, given
 as a continuous linear map. -/
 def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=
   ↑(ContinuousLinearMap.flipₗᵢ' E E' 𝕜 (starRingEnd 𝕜) (RingHom.id 𝕜)).toContinuousLinearEquiv ∘L
     ContinuousLinearMap.compSL E E' (E' →L⋆[𝕜] 𝕜) (RingHom.id 𝕜) (RingHom.id 𝕜) (innerSLFlip 𝕜)
 #align continuous_linear_map.to_sesq_form ContinuousLinearMap.toSesqForm
+-/
 
+/- warning: continuous_linear_map.to_sesq_form_apply_coe -> ContinuousLinearMap.toSesqForm_apply_coe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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_inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E'), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) => E' -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} 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𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : ContinuousLinearMap.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E 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_inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) -> (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toFun.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E 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_inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 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(UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (coeFn.{max (succ u3) (succ (max u3 u1)), max (succ u3) (succ (max u3 u1))} (ContinuousLinearMap.{u1, u1, u3, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u3, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u3, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' 𝕜 (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u3, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) => E' -> (ContinuousLinearMap.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u3, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' 𝕜 (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_1.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_2.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u3, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (innerSL._proof_3.{u1} 𝕜 _inst_1) (innerSL._proof_4.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (innerSL._proof_5.{u1} 𝕜 _inst_1))) (innerSL.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) x) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] (f : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (x : E'), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) x) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), succ u1, max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (fun (_x : E') => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max (max u3 u2) u1, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u3 u2) u1, u3, u3, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u2), max (max (succ u1) (succ u2)) (succ u3)} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) _x) (ContinuousMapClass.toFunLike.{max (max u1 u2) u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u1 u2) u3, u3, u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, max u1 u2, max (max u1 u2) u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) 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(SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))))) (ContinuousLinearMap.toSesqForm.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7) f) x) (ContinuousLinearMap.comp.{u3, u3, u3, u2, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 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(DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (FunLike.coe.{max (succ u3) (succ u1), succ u1, max (succ u3) (succ u1)} (ContinuousLinearMap.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' 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(NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E' (fun (_x : E') => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max u3 u1, u1, max u3 u1} (ContinuousLinearMap.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) E' (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u1, u3, u3, u1, max u3 u1} (ContinuousLinearMap.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u1, max u3 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u1, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (innerSL.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7) x) f)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coeₓ'. -/
 @[simp]
 theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (innerSL 𝕜 x).comp f :=
   rfl
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
 
+/- warning: continuous_linear_map.to_sesq_form_apply_norm_le -> ContinuousLinearMap.toSesqForm_apply_norm_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E'] [_inst_7 : InnerProductSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6] {f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))} {v : E'}, LE.le.{0} Real Real.hasLe (Norm.norm.{max u2 u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) => E' -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (ContinuousLinearMap.toFun.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : ContinuousLinearMap.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) -> (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toFun.{u1, u1, max u2 u3, max u3 u2 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E E' (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.toSesqForm._proof_1.{u3} E' _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_2.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) 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𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u1, u1, u2, u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E 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_inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_8.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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_inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_9.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, max u2 u1} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_10.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.toSesqForm._proof_11.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (ContinuousLinearMap.toSesqForm._proof_12.{u1, u3} 𝕜 _inst_1 E' _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_13.{u3} E' _inst_6)) (ContinuousLinearMap.module.{u1, u1, u1, u3, max u2 u1} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E 𝕜 (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_3.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_4.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_5.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_6.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_7.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u1} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.toSesqForm._proof_14.{u1} 𝕜 _inst_1) (ContinuousLinearMap.toSesqForm._proof_15.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearMap.toSesqForm._proof_16.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_17.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ContinuousLinearMap.toSesqForm._proof_18.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.toSesqForm._proof_19.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (ContinuousLinearMap.toSesqForm.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7) f) v)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u3} E' (PseudoMetricSpace.toUniformSpace.{u3} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u3} E' (NormedAddCommGroup.toAddCommGroup.{u3} E' _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E' (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u3} 𝕜 𝕜 E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E' _inst_6) (DenselyNormedField.toNontriviallyNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E' _inst_1 _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) f) (Norm.norm.{u3} E' (NormedAddCommGroup.toHasNorm.{u3} E' _inst_6) v))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {E' : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} E'] [_inst_7 : InnerProductSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6] {f : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))} {v : E'}, LE.le.{0} Real Real.instLEReal (Norm.norm.{max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 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(RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (fun (_x : E') => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E') => ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _x) (ContinuousMapClass.toFunLike.{max (max u3 u2) u1, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u3 u2) u1, u3, u3, u1, max u3 u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 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(NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 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𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (fun (_x : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) => ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) _x) (ContinuousMapClass.toFunLike.{max (max u1 u2) u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max (max u1 u2) u3, u3, u3, max u1 u2, max (max u1 u2) u3} (ContinuousLinearMap.{u3, u3, max u1 u2, max (max u3 u2) u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, max u1 u2, max (max u1 u2) u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E E' (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.addCommGroup.{u3, u3, u2, u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u1, max u3 u2} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (smulCommClass_self.{u3, u1} 𝕜 E' (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E' (SubNegZeroMonoid.toNegZeroClass.{u1} E' (SubtractionMonoid.toSubNegZeroMonoid.{u1} E' (SubtractionCommMonoid.toSubtractionMonoid.{u1} E' (AddCommGroup.toDivisionAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u1} 𝕜 E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6))) (SMulZeroClass.toSMul.{u3, u1} 𝕜 E' (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 E' (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 E' (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u1} E' (AddCommMonoid.toAddMonoid.{u1} E' (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)))) (Module.toMulActionWithZero.{u3, u1} 𝕜 E' (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) _inst_6 (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalAddGroup.toContinuousAdd.{u1} E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (NormedAddGroup.toAddGroup.{u1} E' (NormedAddCommGroup.toNormedAddGroup.{u1} E' _inst_6)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (ContinuousLinearMap.module.{u3, u3, u3, u1, max u3 u2} 𝕜 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7)) (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.smulCommClass.{u3, u3, u2, u3, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribSMul.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (DistribMulAction.toDistribSMul.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toDistribMulAction.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.uniformSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (SMulWithZero.toSMulZeroClass.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (ContinuousLinearMap.addCommMonoid.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (ContinuousLinearMap.module.{u3, u3, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (MulActionWithZero.toMulAction.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (MonoidWithZero.toMulActionWithZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u3, u3} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SMulZeroClass.toSMul.{u3, u3} 𝕜 𝕜 (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u3, u3} 𝕜 𝕜 (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u3, u3} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u3} 𝕜 (AddCommMonoid.toAddMonoid.{u3} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (Ring.uniformContinuousConstSMul.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousMul.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalSemiring.toContinuousAdd.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (TopologicalRing.toTopologicalSemiring.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (TopologicalDivisionRing.toTopologicalRing.{u3} 𝕜 (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (UniformSpace.Completion.NormedSpace.to_uniformContinuousConstSMul.{u3, max u3 u2} 𝕜 (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (ContinuousLinearMap.toNormedSpace.{u3, u3, u2, u3, u3} 𝕜 𝕜 E 𝕜 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (smulCommClass_self.{u3, u3} 𝕜 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (Monoid.toMulAction.{u3} 𝕜 (CommMonoid.toMonoid.{u3} 𝕜 (CommRing.toCommMonoid.{u3} 𝕜 (EuclideanDomain.toCommRing.{u3} 𝕜 (Field.toEuclideanDomain.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))) (starRingEnd.{u3} 𝕜 (Semifield.toCommSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u3} 𝕜 _inst_1)) (TopologicalAddGroup.toContinuousAdd.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.topologicalSpace.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedAddGroup.toAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedAddCommGroup.toNormedAddGroup.{max u3 u2} (ContinuousLinearMap.{u3, u3, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (ContinuousLinearMap.toNormedAddCommGroup.{u3, u3, u2, u3} 𝕜 𝕜 E 𝕜 _inst_2 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (NormedField.toNormedSpace.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) (ContinuousLinearMap.topologicalAddGroup.{u3, u3, u2, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u3, u3} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))))))))) (ContinuousLinearMap.toSesqForm.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 E' _inst_6 _inst_7) f) v)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E' (UniformSpace.toTopologicalSpace.{u1} E' (PseudoMetricSpace.toUniformSpace.{u1} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} E' (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_6)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜 E' (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7))) (ContinuousLinearMap.hasOpNorm.{u3, u3, u2, u1} 𝕜 𝕜 E E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_6) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 E' _inst_1 _inst_6 _inst_7) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))) f) (Norm.norm.{u1} E' (NormedAddCommGroup.toNorm.{u1} E' _inst_6) v))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_leₓ'. -/
 theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm f v‖ ≤ ‖f‖ * ‖v‖ :=
   by
   refine' op_norm_le_bound _ (mul_nonneg (norm_nonneg _) (norm_nonneg _)) _
@@ -1907,6 +3174,7 @@ theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm
 
 end ContinuousLinearMap
 
+#print isBoundedBilinearMap_inner /-
 /-- When an inner product space `E` over `𝕜` is considered as a real normed space, its inner
 product satisfies `is_bounded_bilinear_map`.
 
@@ -1928,6 +3196,7 @@ theorem isBoundedBilinearMap_inner [NormedSpace ℝ E] :
         rw [one_mul]
         exact norm_inner_le_norm x y⟩ }
 #align is_bounded_bilinear_map_inner isBoundedBilinearMap_inner
+-/
 
 end Norm
 
@@ -1935,6 +3204,12 @@ section BesselsInequality
 
 variable {ι : Type _} (x : E) {v : ι → E}
 
+/- warning: orthonormal.sum_inner_products_le -> Orthonormal.sum_inner_products_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (x : E) {v : ι -> E} {s : Finset.{u3} ι}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (LE.le.{0} Real Real.hasLe (Finset.sum.{0, u3} Real ι Real.addCommMonoid s (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (x : E) {v : ι -> E} {s : Finset.{u3} ι}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (LE.le.{0} Real Real.instLEReal (Finset.sum.{0, u3} Real ι Real.instAddCommMonoidReal s (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_leₓ'. -/
 /-- Bessel's inequality for finite sums. -/
 theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜 v) :
     (∑ i in s, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 :=
@@ -1957,6 +3232,12 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
     inner_smul_left, add_sub_cancel']
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
 
+/- warning: orthonormal.tsum_inner_products_le -> Orthonormal.tsum_inner_products_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (x : E) {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (LE.le.{0} Real Real.hasLe (tsum.{0, u3} Real Real.addCommMonoid (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) ι (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} (x : E) {v : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (LE.le.{0} Real Real.instLEReal (tsum.{0, u1} Real Real.instAddCommMonoidReal (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) ι (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u3} 𝕜 (NormedField.toNorm.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.tsum_inner_products_le Orthonormal.tsum_inner_products_leₓ'. -/
 /-- Bessel's inequality. -/
 theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
     (∑' i, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 :=
@@ -1965,6 +3246,12 @@ theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
   simp only [norm_nonneg, pow_nonneg]
 #align orthonormal.tsum_inner_products_le Orthonormal.tsum_inner_products_le
 
+/- warning: orthonormal.inner_products_summable -> Orthonormal.inner_products_summable is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} (x : E) {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (Summable.{0, u3} Real ι Real.addCommMonoid (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} (x : E) {v : ι -> E}, (Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (Summable.{0, u1} Real ι Real.instAddCommMonoidReal (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u3} 𝕜 (NormedField.toNorm.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))) (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) x)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))
+Case conversion may be inaccurate. Consider using '#align orthonormal.inner_products_summable Orthonormal.inner_products_summableₓ'. -/
 /-- The sum defined in Bessel's inequality is summable. -/
 theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
     Summable fun i => ‖⟪v i, x⟫‖ ^ 2 :=
@@ -1981,6 +3268,7 @@ theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
 
 end BesselsInequality
 
+#print IsROrC.innerProductSpace /-
 /-- A field `𝕜` satisfying `is_R_or_C` is itself a `𝕜`-inner product space. -/
 instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
     where
@@ -1992,7 +3280,14 @@ instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
   add_left x y z := by simp only [add_mul, map_add]
   smul_left x y z := by simp only [mul_assoc, smul_eq_mul, map_mul]
 #align is_R_or_C.inner_product_space IsROrC.innerProductSpace
+-/
 
+/- warning: is_R_or_C.inner_apply -> IsROrC.inner_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] (x : 𝕜) (y : 𝕜), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u1} 𝕜 𝕜 (InnerProductSpace.toHasInner.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (IsROrC.innerProductSpace.{u1} 𝕜 _inst_1)) x y) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) x) y)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] (x : 𝕜) (y : 𝕜), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u1} 𝕜 𝕜 (InnerProductSpace.toInner.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (IsROrC.innerProductSpace.{u1} 𝕜 _inst_1)) x y) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) x) 𝕜 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) x) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) x) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) x) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) x) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜) x) (NormedRing.toRing.{u1} 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(Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) x) y)
+Case conversion may be inaccurate. Consider using '#align is_R_or_C.inner_apply IsROrC.inner_applyₓ'. -/
 @[simp]
 theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
   rfl
@@ -2001,6 +3296,7 @@ theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
 /-! ### Inner product space structure on subspaces -/
 
 
+#print Submodule.innerProductSpace /-
 /-- Induced inner product on a submodule. -/
 instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace 𝕜 W :=
   { Submodule.normedSpace W with
@@ -2010,24 +3306,43 @@ instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace
     add_left := fun _ _ _ => inner_add_left _ _ _
     smul_left := fun _ _ _ => inner_smul_left _ _ _ }
 #align submodule.inner_product_space Submodule.innerProductSpace
+-/
 
+/- warning: submodule.coe_inner -> Submodule.coe_inner is a dubious translation:
+lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) x W))))) y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (W : Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x W)) (y : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x W)), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x W)) (InnerProductSpace.toInner.{u2, u1} 𝕜 (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x W)) _inst_1 (Submodule.normedAddCommGroup.{u2, u1} 𝕜 E (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) W) (Submodule.innerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 W)) x y) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) W)) x) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) W)) y))
+Case conversion may be inaccurate. Consider using '#align submodule.coe_inner Submodule.coe_innerₓ'. -/
 /-- The inner product on submodules is the same as on the ambient space. -/
 @[simp]
 theorem Submodule.coe_inner (W : Submodule 𝕜 E) (x y : W) : ⟪x, y⟫ = ⟪(x : E), ↑y⟫ :=
   rfl
 #align submodule.coe_inner Submodule.coe_inner
 
+/- warning: orthonormal.cod_restrict -> Orthonormal.codRestrict is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (s : Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (hvs : forall (i : ι), Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (v i) s), Orthonormal.{u1, u2, u3} 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) s) _inst_1 (Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) s) (Submodule.innerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s) ι (Set.codRestrict.{u2, succ u3} E ι v ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) s) hvs))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (forall (s : Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (hvs : forall (i : ι), Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (v i) s), Orthonormal.{u2, u1, u3} 𝕜 (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x s)) _inst_1 (Submodule.normedAddCommGroup.{u2, u1} 𝕜 E (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) s) (Submodule.innerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 s) ι (Set.codRestrict.{u1, succ u3} E ι v (SetLike.coe.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) s) hvs))
+Case conversion may be inaccurate. Consider using '#align orthonormal.cod_restrict Orthonormal.codRestrictₓ'. -/
 theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
     (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ _ ι (Set.codRestrict v s hvs) :=
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
-theorem orthonormalSpan {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
+/- warning: orthonormal_span -> orthonormal_span is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (Orthonormal.{u1, u2, u3} 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u2, succ u3} E ι v))) _inst_1 (Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u2, succ u3} E ι v))) (Submodule.innerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u2, succ u3} E ι v))) ι (fun (i : ι) => Subtype.mk.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u2, succ u3} E ι v))) (v i) (Submodule.subset_span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u2, succ u3} E ι v) (v i) (Set.mem_range_self.{u2, succ u3} E ι v i))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E}, (Orthonormal.{u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v) -> (Orthonormal.{u2, u1, u3} 𝕜 (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (Submodule.span.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u1, succ u3} E ι v)))) _inst_1 (Submodule.normedAddCommGroup.{u2, u1} 𝕜 E (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (Submodule.span.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u1, succ u3} E ι v))) (Submodule.innerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Submodule.span.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (Set.range.{u1, succ u3} E ι v))) ι (fun (i : ι) => Subtype.mk.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (Submodule.span.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) 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+Case conversion may be inaccurate. Consider using '#align orthonormal_span orthonormal_spanₓ'. -/
+theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
   hv.codRestrict (Submodule.span 𝕜 (Set.range v)) fun i =>
     Submodule.subset_span (Set.mem_range_self i)
-#align orthonormal_span orthonormalSpan
+#align orthonormal_span orthonormal_span
 
 /-! ### Families of mutually-orthogonal subspaces of an inner product space -/
 
@@ -2038,6 +3353,7 @@ variable {ι : Type _} [dec_ι : DecidableEq ι] (𝕜)
 
 open DirectSum
 
+#print OrthogonalFamily /-
 /-- An indexed family of mutually-orthogonal subspaces of an inner product space `E`.
 
 The simple way to express this concept would be as a condition on `V : ι → submodule 𝕜 E`.  We
@@ -2054,10 +3370,17 @@ def OrthogonalFamily (G : ι → Type _) [∀ i, NormedAddCommGroup (G i)]
     [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) : Prop :=
   ∀ ⦃i j⦄, i ≠ j → ∀ v : G i, ∀ w : G j, ⟪V i v, V j w⟫ = 0
 #align orthogonal_family OrthogonalFamily
+-/
 
 variable {𝕜} {G : ι → Type _} [∀ i, NormedAddCommGroup (G i)] [∀ i, InnerProductSpace 𝕜 (G i)]
   {V : ∀ i, G i →ₗᵢ[𝕜] E} (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
+/- warning: orthonormal.orthogonal_family -> Orthonormal.orthogonalFamily is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {v : ι -> E} (hv : Orthonormal.{u1, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι v), OrthogonalFamily.{u1, u2, u3, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι (fun (i : ι) => 𝕜) (fun (i : ι) => NonUnitalNormedRing.toNormedAddCommGroup.{u1} ((fun (i : ι) => 𝕜) i) (NormedRing.toNonUnitalNormedRing.{u1} ((fun (i : ι) => 𝕜) i) (NormedCommRing.toNormedRing.{u1} ((fun (i : ι) => 𝕜) i) (NormedField.toNormedCommRing.{u1} ((fun (i : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u1} ((fun (i : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u1} ((fun (i : ι) => 𝕜) i) _inst_1)))))) (fun (i : ι) => IsROrC.innerProductSpace.{u1} 𝕜 _inst_1) (fun (i : ι) => LinearIsometry.toSpanSingleton.{u1, u2} 𝕜 E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (DenselyNormedField.toNontriviallyNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (And.left (forall (i : ι), Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (v i)) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))) (forall {i : ι} {j : ι}, (Ne.{succ u3} ι i j) -> (Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (v j)) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))))))) hv i))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} {v : ι -> E} (hv : Orthonormal.{u3, u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι v), OrthogonalFamily.{u3, u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (fun (i : ι) => 𝕜) (fun (i : ι) => NonUnitalNormedRing.toNormedAddCommGroup.{u3} ((fun (i : ι) => 𝕜) i) (NormedRing.toNonUnitalNormedRing.{u3} ((fun (i : ι) => 𝕜) i) (NormedCommRing.toNormedRing.{u3} ((fun (i : ι) => 𝕜) i) (NormedField.toNormedCommRing.{u3} ((fun (i : ι) => 𝕜) i) (DenselyNormedField.toNormedField.{u3} ((fun (i : ι) => 𝕜) i) (IsROrC.toDenselyNormedField.{u3} ((fun (i : ι) => 𝕜) i) _inst_1)))))) (fun (i : ι) => IsROrC.innerProductSpace.{u3} 𝕜 _inst_1) (fun (i : ι) => LinearIsometry.toSpanSingleton.{u3, u2} 𝕜 E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (DenselyNormedField.toNontriviallyNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (And.left (forall (i : ι), Eq.{1} Real (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (v i)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))) (forall {i : ι} {j : ι}, (Ne.{succ u1} ι i j) -> (Eq.{succ u3} 𝕜 (Inner.inner.{u3, u2} 𝕜 E (InnerProductSpace.toInner.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (v i) (v j)) (OfNat.ofNat.{u3} 𝕜 0 (Zero.toOfNat0.{u3} 𝕜 (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))))))))) hv i))
+Case conversion may be inaccurate. Consider using '#align orthonormal.orthogonal_family Orthonormal.orthogonalFamilyₓ'. -/
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
     OrthogonalFamily 𝕜 (fun i : ι => 𝕜) fun i => LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
   fun i j hij a b => by simp [inner_smul_left, inner_smul_right, hv.2 hij]
@@ -2065,6 +3388,12 @@ theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
 
 include hV dec_ι
 
+/- warning: orthogonal_family.eq_ite -> OrthogonalFamily.eq_ite is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G j) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V j) w)) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [dec_ι : DecidableEq.{succ u1} ι] {G : ι -> Type.{u2}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u2} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u4, u3, u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall {i : ι} {j : ι} (v : G i) (w : G j), Eq.{succ u4} 𝕜 (Inner.inner.{u4, u3} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) (InnerProductSpace.toInner.{u4, u3} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) (fun (_x : G i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u2, u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) E (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u2, u3} (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (AddCommGroup.toAddCommMonoid.{u2} (G i) (SeminormedAddCommGroup.toAddCommGroup.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u2, u3, max u3 u2} 𝕜 𝕜 (G i) E (LinearIsometry.{u4, u4, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) 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(UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u4, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) 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+Case conversion may be inaccurate. Consider using '#align orthogonal_family.eq_ite OrthogonalFamily.eq_iteₓ'. -/
 theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
     ⟪V i v, V j w⟫ = ite (i = j) ⟪V i v, V j w⟫ 0 :=
   by
@@ -2075,6 +3404,12 @@ theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
 
 include dec_V
 
+/- warning: orthogonal_family.inner_right_dfinsupp -> OrthogonalFamily.inner_right_dfinsupp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u1, u2, u3, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall [dec_V : forall (i : ι) (x : G i), Decidable (Ne.{succ u4} (G i) x (OfNat.ofNat.{u4} (G i) 0 (OfNat.mk.{u4} (G i) 0 (Zero.zero.{u4} (G i) (AddZeroClass.toHasZero.{u4} (G i) (AddMonoid.toAddZeroClass.{u4} (G i) (SubNegMonoid.toAddMonoid.{u4} (G i) (AddGroup.toSubNegMonoid.{u4} (G i) (NormedAddGroup.toAddGroup.{u4} (G i) (NormedAddCommGroup.toNormedAddGroup.{u4} (G i) (_inst_6 i)))))))))))] (l : DirectSum.{u3, u4} ι (fun (i : ι) => G i) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u4} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u4} ((fun (i : ι) => G i) i) (_inst_6 i)))) (i : ι) (v : G i), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{max (succ u4) (succ u2), max (succ u4) (succ u2)} (LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V i) v) (Dfinsupp.sum.{u3, u4, u2} ι E (fun (i : ι) => (fun (i : ι) => G i) i) (fun (a : ι) (b : ι) => dec_ι a b) (fun (i : ι) => AddZeroClass.toHasZero.{u4} ((fun (i : ι) => G i) i) (AddMonoid.toAddZeroClass.{u4} ((fun (i : ι) => G i) i) (AddCommMonoid.toAddMonoid.{u4} ((fun (i : ι) => G i) i) ((fun (i : ι) => AddCommGroup.toAddCommMonoid.{u4} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u4} ((fun (i : ι) => G i) i) (_inst_6 i))) i)))) (fun (i : ι) (x : G i) => dec_V i x) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) l (fun (j : ι) => coeFn.{max (succ u4) (succ u2), max (succ u4) (succ u2)} (LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G j) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G j) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G j) (_inst_6 j)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G j) _inst_1 (_inst_6 j) (_inst_7 j))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V j)))) (Inner.inner.{u1, u4} 𝕜 (G i) (InnerProductSpace.toHasInner.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i)) v (coeFn.{succ (max u3 u4), max (succ u3) (succ u4)} (DirectSum.{u3, u4} ι (fun (i : ι) => G i) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u4} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u4} ((fun (i : ι) => G i) i) (_inst_6 i)))) (fun (_x : DirectSum.{u3, u4} ι (fun (i : ι) => G i) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u4} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u4} ((fun (i : ι) => G i) i) (_inst_6 i)))) => forall (i : ι), G i) (DirectSum.hasCoeToFun.{u3, u4} ι (fun (i : ι) => G i) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u4} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u4} ((fun (i : ι) => G i) i) (_inst_6 i)))) l i)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [dec_ι : DecidableEq.{succ u4} ι] {G : ι -> Type.{u3}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u3} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u2, u1, u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall [dec_V : forall (i : ι) (x : G i), Decidable (Ne.{succ u3} (G i) x (OfNat.ofNat.{u3} (G i) 0 (Zero.toOfNat0.{u3} (G i) (NegZeroClass.toZero.{u3} (G i) (SubNegZeroMonoid.toNegZeroClass.{u3} (G i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} (G i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} (G i) (AddCommGroup.toDivisionAddCommMonoid.{u3} (G i) (NormedAddCommGroup.toAddCommGroup.{u3} (G i) (_inst_6 i))))))))))] (l : DirectSum.{u4, u3} ι (fun (i : ι) => G i) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u3} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u3} ((fun (i : ι) => G i) i) (_inst_6 i)))) (i : ι) (v : G i), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) (InnerProductSpace.toInner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) v) _inst_1 _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) (fun (_x : G i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) _x) (ContinuousMapClass.toFunLike.{max u1 u3, u3, u1} (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) E (UniformSpace.toTopologicalSpace.{u3} (G i) (PseudoMetricSpace.toUniformSpace.{u3} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u3, u2, u2, u3, u1} (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) (UniformSpace.toTopologicalSpace.{u3} (G i) (PseudoMetricSpace.toUniformSpace.{u3} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i))))) (AddCommGroup.toAddCommMonoid.{u3} (G i) (SeminormedAddCommGroup.toAddCommGroup.{u3} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u2, u2, u3, u1, max u1 u3} 𝕜 𝕜 (G i) E (LinearIsometry.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 (G i) (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u2, u3} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} 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AddCommGroup.toAddCommMonoid.{u3} ((fun (i : ι) => G i) i) (NormedAddCommGroup.toAddCommGroup.{u3} ((fun (i : ι) => G i) i) (_inst_6 i))) i))) i)) l i)))
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_right_dfinsupp OrthogonalFamily.inner_right_dfinsuppₓ'. -/
 theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i) :
     ⟪V i v, l.Sum fun j => V j⟫ = ⟪v, l i⟫ :=
   calc
@@ -2094,6 +3429,12 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
 
 omit dec_ι dec_V
 
+/- warning: orthogonal_family.inner_right_fintype -> OrthogonalFamily.inner_right_fintype is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V i) v) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (Finset.univ.{u3} ι _inst_8) (fun (j : ι) => coeFn.{max (succ u4) (succ u2), max (succ u4) (succ u2)} (LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 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(InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V j) (l j)))) (Inner.inner.{u1, u4} 𝕜 (G i) (InnerProductSpace.toHasInner.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i)) v (l i)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [G : DecidableEq.{succ u4} ι] {_inst_6 : ι -> Type.{u1}} [_inst_7 : forall (i : ι), NormedAddCommGroup.{u1} (_inst_6 i)] [V : forall (i : ι), InnerProductSpace.{u3, u1} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i)] {hV : forall (i : ι), LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 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(NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 j) (UniformSpace.toTopologicalSpace.{u1} (_inst_6 j) (PseudoMetricSpace.toUniformSpace.{u1} (_inst_6 j) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} (_inst_6 j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j))))) (AddCommGroup.toAddCommMonoid.{u1} (_inst_6 j) (SeminormedAddCommGroup.toAddCommGroup.{u1} (_inst_6 j) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u1, u2, max u2 u1} 𝕜 𝕜 (_inst_6 j) E (LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (_inst_6 j) E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (hV j) (i j)))) (Inner.inner.{u3, u1} 𝕜 (_inst_6 v) (InnerProductSpace.toInner.{u3, u1} 𝕜 (_inst_6 v) _inst_1 (_inst_7 v) (V v)) v_1 (i v)))
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintypeₓ'. -/
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
   classical calc
@@ -2105,6 +3446,12 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
       
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 
+/- warning: orthogonal_family.inner_sum -> OrthogonalFamily.inner_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V j) (l₂ j)))) (Finset.sum.{u1, u3} 𝕜 ι (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) s (fun (i : ι) => Inner.inner.{u1, u4} 𝕜 (G i) (InnerProductSpace.toHasInner.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i)) (l₁ i) (l₂ i))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [G : DecidableEq.{succ u4} ι] {_inst_6 : ι -> Type.{u1}} [_inst_7 : forall (i : ι), NormedAddCommGroup.{u1} (_inst_6 i)] [V : forall (i : ι), InnerProductSpace.{u3, u1} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i)] {hV : forall (i : ι), LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 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(_inst_6 i) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u1, u2, max u2 u1} 𝕜 𝕜 (_inst_6 i) E (LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) 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(IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (_inst_6 j) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (_inst_6 j) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (_inst_6 j) (_inst_7 j)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (_inst_6 j) _inst_1 (_inst_7 j) (V j))) 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+Case conversion may be inaccurate. Consider using '#align orthogonal_family.inner_sum OrthogonalFamily.inner_sumₓ'. -/
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
   classical calc
@@ -2121,6 +3468,12 @@ theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
       
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 
+/- warning: orthogonal_family.norm_sum -> OrthogonalFamily.norm_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (G i) -> E) (LinearIsometry.hasCoeToFun.{u1, u1, u4, u2} 𝕜 𝕜 (G i) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V i) (l i)))) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Finset.sum.{0, u3} Real ι Real.addCommMonoid s (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u4} (G i) (NormedAddCommGroup.toHasNorm.{u4} (G i) (_inst_6 i)) (l i)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u3}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u1, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [G : DecidableEq.{succ u4} ι] {_inst_6 : ι -> Type.{u2}} [_inst_7 : forall (i : ι), NormedAddCommGroup.{u2} (_inst_6 i)] [V : forall (i : ι), InnerProductSpace.{u1, u2} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i)] {hV : forall (i : ι), LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u1, u3} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u1, u3, u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι _inst_6 (fun (i : ι) => _inst_7 i) (fun (i : ι) => V i) hV) -> (forall (s : forall (i : ι), _inst_6 i) (s_1 : Finset.{u4} ι), Eq.{1} Real (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u3} E (NormedAddCommGroup.toNorm.{u3} E _inst_2) (Finset.sum.{u3, u4} E ι (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) s_1 (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : _inst_6 i) => E) a) (ContinuousMapClass.toFunLike.{max u3 u2, u2, u3} (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u1, u3} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (_inst_6 i) E (UniformSpace.toTopologicalSpace.{u2} (_inst_6 i) (PseudoMetricSpace.toUniformSpace.{u2} (_inst_6 i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (_inst_6 i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u2, u3} (LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u1, u3} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (_inst_6 i) (UniformSpace.toTopologicalSpace.{u2} (_inst_6 i) (PseudoMetricSpace.toUniformSpace.{u2} (_inst_6 i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (_inst_6 i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i))))) (AddCommGroup.toAddCommMonoid.{u2} (_inst_6 i) (SeminormedAddCommGroup.toAddCommGroup.{u2} (_inst_6 i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (_inst_6 i) (_inst_7 i)) 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+Case conversion may be inaccurate. Consider using '#align orthogonal_family.norm_sum OrthogonalFamily.norm_sumₓ'. -/
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
     ‖∑ i in s, V i (l i)‖ ^ 2 = ∑ i in s, ‖l i‖ ^ 2 :=
   by
@@ -2129,13 +3482,25 @@ theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
   exact_mod_cast this
 #align orthogonal_family.norm_sum OrthogonalFamily.norm_sum
 
+/- warning: orthogonal_family.comp -> OrthogonalFamily.comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u1, u2, u3, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall {γ : Type.{u5}} {f : γ -> ι}, (Function.Injective.{succ u5, succ u3} γ ι f) -> (OrthogonalFamily.{u1, u2, u5, u4} 𝕜 E _inst_1 _inst_2 _inst_3 γ (fun (g : γ) => G (f g)) (fun (i : γ) => _inst_6 (f i)) (fun (i : γ) => _inst_7 (f i)) (fun (g : γ) => V (f g))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} {G : ι -> Type.{u1}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u1} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u3, u1} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u3, u3, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u3, u1} 𝕜 (G i) (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u3, u1} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u3, u2, u4, u1} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall {γ : Type.{u5}} {f : γ -> ι}, (Function.Injective.{succ u5, succ u4} γ ι f) -> (OrthogonalFamily.{u3, u2, u5, u1} 𝕜 E _inst_1 _inst_2 _inst_3 γ (fun (g : γ) => G (f g)) (fun (i : γ) => _inst_6 (f i)) (fun (i : γ) => _inst_7 (f i)) (fun (g : γ) => V (f g))))
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.comp OrthogonalFamily.compₓ'. -/
 /-- The composition of an orthogonal family of subspaces with an injective function is also an
 orthogonal family. -/
 theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injective f) :
     OrthogonalFamily 𝕜 (fun g => G (f g)) fun g => V (f g) := fun i j hij v w => hV (hf.Ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
 
-theorem OrthogonalFamily.orthonormalSigmaOrthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
+/- warning: orthogonal_family.orthonormal_sigma_orthonormal -> OrthogonalFamily.orthonormal_sigma_orthonormal is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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i)}, (forall (i : ι), Orthonormal.{u1, u4, u5} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i) (α i) (v_family i)) -> (Orthonormal.{u1, u2, max u3 u5} 𝕜 E _inst_1 _inst_2 _inst_3 (Sigma.{u3, u5} ι (fun (i : ι) => α i)) (fun (a : Sigma.{u3, u5} ι (fun (i : ι) => α i)) => coeFn.{max (succ u4) (succ u2), max (succ u4) (succ u2)} (LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a))) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) _inst_1 (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_7 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a))) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) _inst_1 (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_7 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) -> E) (LinearIsometry.hasCoeToFun.{u1, u1, u4, u2} 𝕜 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a))) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) _inst_1 (_inst_6 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (_inst_7 (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a)) (v_family (Sigma.fst.{u3, u5} ι (fun (i : ι) => α i) a) (Sigma.snd.{u3, u5} ι (fun (i : ι) => α i) a)))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u2}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u4, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u1}} [G : DecidableEq.{succ u1} ι] {_inst_6 : ι -> Type.{u3}} [_inst_7 : forall (i : ι), NormedAddCommGroup.{u3} (_inst_6 i)] [V : forall (i : ι), InnerProductSpace.{u4, u3} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i)] {hV : forall (i : ι), LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))))) (_inst_6 i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 i) (_inst_7 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 i) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 i) (_inst_7 i)) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u4, u2, u1, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι _inst_6 (fun (i : ι) => _inst_7 i) (fun (i : ι) => V i) hV) -> (forall {v_family : ι -> Type.{u5}} {hv_family : forall (i : ι), (v_family i) -> (_inst_6 i)}, (forall (i : ι), Orthonormal.{u4, u3, u5} 𝕜 (_inst_6 i) _inst_1 (_inst_7 i) (V i) (v_family i) (hv_family i)) -> (Orthonormal.{u4, u2, max u1 u5} 𝕜 E _inst_1 _inst_2 _inst_3 (Sigma.{u1, u5} ι (fun (i : ι) => v_family i)) (fun (a : Sigma.{u1, u5} ι (fun (i : ι) => v_family i)) => FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 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(fun (i : ι) => v_family i) a))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a))) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) _inst_1 (_inst_7 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (V (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u4, u4, u3, u2, max u2 u3} 𝕜 𝕜 (_inst_6 (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) E (LinearIsometry.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 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v_family i) a)))) (NormedSpace.toModule.{u4, u2} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (hV (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a)) (hv_family (Sigma.fst.{u1, u5} ι (fun (i : ι) => v_family i) a) (Sigma.snd.{u1, u5} ι (fun (i : ι) => v_family i) a)))))
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormalₓ'. -/
+theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 fun a : Σi, α i => V a.1 (v_family a.1 a.2) :=
   by
@@ -2150,10 +3515,16 @@ theorem OrthogonalFamily.orthonormalSigmaOrthonormal {α : ι → Type _} {v_fam
       exact hvw rfl
     simpa only [LinearIsometry.inner_map_map] using (hv_family i).2 this
   · exact hV hij (v_family i v) (v_family j w)
-#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormalSigmaOrthonormal
+#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormal
 
 include dec_ι
 
+/- warning: orthogonal_family.norm_sq_diff_sum -> OrthogonalFamily.norm_sq_diff_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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(_x : LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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=> coeFn.{max (succ u4) (succ u2), max (succ u4) (succ u2)} (LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V i) (f i))))) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (Finset.sum.{0, u3} Real ι Real.addCommMonoid (SDiff.sdiff.{u3} (Finset.{u3} ι) (Finset.hasSdiff.{u3} ι (fun (a : ι) (b : ι) => dec_ι a b)) s₁ s₂) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u4} (G i) (NormedAddCommGroup.toHasNorm.{u4} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) (Finset.sum.{0, u3} Real ι Real.addCommMonoid (SDiff.sdiff.{u3} (Finset.{u3} ι) (Finset.hasSdiff.{u3} ι (fun (a : ι) (b : ι) => dec_ι a b)) s₂ s₁) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u4} (G i) (NormedAddCommGroup.toHasNorm.{u4} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u3}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u1, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u4}} [dec_ι : DecidableEq.{succ u4} ι] {G : ι -> Type.{u2}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u2} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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𝕜 E _inst_1 _inst_2 _inst_3)))))) (V i) (f i))))) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Finset.sum.{0, u4} Real ι Real.instAddCommMonoidReal (SDiff.sdiff.{u4} (Finset.{u4} ι) (Finset.instSDiffFinset.{u4} ι (fun (a : ι) (b : ι) => dec_ι a b)) s₁ s₂) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} (G i) (NormedAddCommGroup.toNorm.{u2} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) (Finset.sum.{0, u4} Real ι Real.instAddCommMonoidReal (SDiff.sdiff.{u4} (Finset.{u4} ι) (Finset.instSDiffFinset.{u4} ι (fun (a : ι) (b : ι) => dec_ι a b)) s₂ s₁) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} (G i) (NormedAddCommGroup.toNorm.{u2} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))))))
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.norm_sq_diff_sum OrthogonalFamily.norm_sq_diff_sumₓ'. -/
 theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
     ‖(∑ i in s₁, V i (f i)) - ∑ i in s₂, V i (f i)‖ ^ 2 =
       (∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 :=
@@ -2183,6 +3554,12 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 
 omit dec_ι
 
+/- warning: orthogonal_family.summable_iff_norm_sq_summable -> OrthogonalFamily.summable_iff_norm_sq_summable is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u4}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u4} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u1, u2, u3, u4} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall [_inst_8 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))] (f : forall (i : ι), G i), Iff (Summable.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (fun (i : ι) => coeFn.{max (succ u4) (succ u2), max (succ u4) (succ u2)} (LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : LinearIsometry.{u1, u1, u4, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => (G i) -> E) (LinearIsometry.hasCoeToFun.{u1, u1, u4, u2} 𝕜 𝕜 (G i) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u4} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (V i) (f i))) (Summable.{0, u3} Real ι Real.addCommMonoid (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u4} (G i) (NormedAddCommGroup.toHasNorm.{u4} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u4}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : InnerProductSpace.{u1, u4} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {G : ι -> Type.{u2}} [_inst_6 : forall (i : ι), NormedAddCommGroup.{u2} (G i)] [_inst_7 : forall (i : ι), InnerProductSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i)] {V : forall (i : ι), LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3))}, (OrthogonalFamily.{u1, u4, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι G (fun (i : ι) => _inst_6 i) (fun (i : ι) => _inst_7 i) V) -> (forall [_inst_8 : CompleteSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)))] (f : forall (i : ι), G i), Iff (Summable.{u4, u3} E ι (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2)) (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)))) (fun (i : ι) => FunLike.coe.{max (succ u4) (succ u2), succ u2, succ u4} (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) (fun (_x : G i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G i) => E) _x) (ContinuousMapClass.toFunLike.{max u4 u2, u2, u4} (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3))) (G i) E (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u2, u1, u1, u2, u4} (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) (UniformSpace.toTopologicalSpace.{u2} (G i) (PseudoMetricSpace.toUniformSpace.{u2} (G i) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i))))) (AddCommGroup.toAddCommMonoid.{u2} (G i) (SeminormedAddCommGroup.toAddCommGroup.{u2} (G i) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)))) E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} E (SeminormedAddCommGroup.toAddCommGroup.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3)) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u1, u1, u2, u4, max u4 u2} 𝕜 𝕜 (G i) E (LinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (G i) E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3)) (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u1, u1, u2, u4} 𝕜 𝕜 (G i) E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 (G i) (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (G i) (_inst_6 i)) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 (G i) _inst_1 (_inst_6 i) (_inst_7 i))) (NormedSpace.toModule.{u1, u4} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u4} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (V i) (f i))) (Summable.{0, u3} Real ι Real.instAddCommMonoidReal (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (i : ι) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} (G i) (NormedAddCommGroup.toNorm.{u2} (G i) (_inst_6 i)) (f i)) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))))
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.summable_iff_norm_sq_summable OrthogonalFamily.summable_iff_norm_sq_summableₓ'. -/
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
 `(λ i, ‖f i‖ ^ 2)` is summable. -/
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
@@ -2232,6 +3609,12 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
 
 omit hV
 
+/- warning: orthogonal_family.independent -> OrthogonalFamily.independent is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} {V : ι -> (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))}, (OrthogonalFamily.{u1, u2, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι (fun (i : ι) => coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (V i)) (fun (i : ι) => Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (fun (i : ι) => Submodule.innerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (V i)) (fun (i : ι) => Submodule.subtypeₗᵢ.{u2, u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))) -> (CompleteLattice.Independent.{succ u3, u2} ι (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Submodule.completeLattice.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) V)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} [_inst_1 : IsROrC.{u3} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2] [ι : DecidableEq.{succ u2} E] {V : Type.{u1}} [hV : DecidableEq.{succ u1} V] {V_1 : V -> (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))}, (OrthogonalFamily.{u3, u2, u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 V (fun (i : V) => Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V_1 i))) (fun (i : V) => Submodule.normedAddCommGroup.{u3, u2} 𝕜 E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule'.{u3, u2} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) E _inst_2 (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V_1 i)) (fun (i : V) => Submodule.innerProductSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (V_1 i)) (fun (i : V) => Submodule.subtypeₗᵢ.{u2, u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1))))) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (V_1 i))) -> (CompleteLattice.Independent.{succ u1, u2} V (Submodule.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Submodule.completeLattice.{u3, u2} 𝕜 E (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (DenselyNormedField.toNormedField.{u3} 𝕜 (IsROrC.toDenselyNormedField.{u3} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) V_1)
+Case conversion may be inaccurate. Consider using '#align orthogonal_family.independent OrthogonalFamily.independentₓ'. -/
 /-- An orthogonal family forms an independent family of subspaces; that is, any collection of
 elements each from a different subspace in the family is linearly independent. In particular, the
 pairwise intersections of elements of the family are 0. -/
@@ -2256,13 +3639,19 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 
 include dec_ι
 
-theorem DirectSum.IsInternal.collectedBasisOrthonormal {V : ι → Submodule 𝕜 E}
+/- warning: direct_sum.is_internal.collected_basis_orthonormal -> DirectSum.IsInternal.collectedBasis_orthonormal is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {ι : Type.{u3}} [dec_ι : DecidableEq.{succ u3} ι] {V : ι -> (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))}, (OrthogonalFamily.{u1, u2, u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 ι (fun (i : ι) => coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (V i)) (fun (i : ι) => Submodule.normedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) _inst_2 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+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u3}} [_inst_1 : IsROrC.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2] {ι : Type.{u2}} [dec_ι : DecidableEq.{succ u2} ι] {V : ι -> (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))}, (OrthogonalFamily.{u4, u3, u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3 ι (fun (i : ι) => Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V i))) (fun (i : ι) => Submodule.normedAddCommGroup.{u4, u3} 𝕜 E (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule'.{u4, u3} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) E _inst_2 (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (fun (i : ι) => Submodule.innerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3 (V i)) (fun (i : ι) => Submodule.subtypeₗᵢ.{u3, u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))) -> (forall (hV_sum : DirectSum.IsInternal.{u2, u3, u3} ι E (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (a : ι) (b : ι) => dec_ι a b) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (Submodule.addSubmonoidClass.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (i : ι) => V i)) {α : ι -> Type.{u1}} {v_family : forall (i : ι), Basis.{u1, u4, u3} (α i) 𝕜 (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V i))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (Submodule.addCommMonoid.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (Submodule.module.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))}, (forall (i : ι), Orthonormal.{u4, u3, u1} 𝕜 (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V i))) _inst_1 (Submodule.normedAddCommGroup.{u4, u3} 𝕜 E (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1))))) _inst_2 (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (Submodule.innerProductSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3 (V i)) (α i) (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u4, u3} (α i) 𝕜 (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V i))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (Submodule.addCommMonoid.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (Submodule.module.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) 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E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V i))) _x) (Basis.funLike.{u1, u4, u3} (α i) 𝕜 (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) E (Submodule.setLike.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)))) x (V i))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (Submodule.addCommMonoid.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i)) (Submodule.module.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (V i))) (v_family i))) -> (Orthonormal.{u4, u3, max u2 u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Sigma.{u2, u1} ι (fun (i : ι) => α i)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), max (succ u2) (succ u1), succ u3} (Basis.{max u1 u2, u4, u3} (Sigma.{u2, u1} ι (fun (i : ι) => α i)) 𝕜 E 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𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3))) (DirectSum.IsInternal.collectedBasis.{u4, u2, u3, u1} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)))))) ι (fun (a : ι) (b : ι) => dec_ι a b) E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (DenselyNormedField.toNormedField.{u4} 𝕜 (IsROrC.toDenselyNormedField.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (InnerProductSpace.toNormedSpace.{u4, u3} 𝕜 E _inst_1 _inst_2 _inst_3)) (fun (i : ι) => V i) hV_sum (fun (i : ι) => α i) v_family))))
+Case conversion may be inaccurate. Consider using '#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormalₓ'. -/
+theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
     {v_family : ∀ i, Basis (α i) 𝕜 (V i)} (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 (hV_sum.collectedBasis v_family) := by
   simpa only [hV_sum.collected_basis_coe] using hV.orthonormal_sigma_orthonormal hv_family
-#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasisOrthonormal
+#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormal
 
 end OrthogonalFamily
 
@@ -2274,17 +3663,20 @@ variable (𝕜 E)
 
 include 𝕜
 
+#print Inner.isROrCToReal /-
 /-- A general inner product implies a real inner product. This is not registered as an instance
 since it creates problems with the case `𝕜 = ℝ`. -/
-def HasInner.isROrCToReal : HasInner ℝ E where inner x y := re ⟪x, y⟫
-#align has_inner.is_R_or_C_to_real HasInner.isROrCToReal
+def Inner.isROrCToReal : Inner ℝ E where inner x y := re ⟪x, y⟫
+#align has_inner.is_R_or_C_to_real Inner.isROrCToReal
+-/
 
+#print InnerProductSpace.isROrCToReal /-
 /-- A general inner product space structure implies a real inner product structure. This is not
 registered as an instance since it creates problems with the case `𝕜 = ℝ`, but in can be used in a
 proof to obtain a real inner product space structure from a given `𝕜`-inner product space
 structure. -/
 def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
-  { HasInner.isROrCToReal 𝕜 E,
+  { Inner.isROrCToReal 𝕜 E,
     NormedSpace.restrictScalars ℝ 𝕜
       E with
     norm_sq_eq_inner := norm_sq_eq_inner
@@ -2296,32 +3688,63 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
       change re ⟪(r : 𝕜) • x, y⟫ = r * re ⟪x, y⟫
       simp only [inner_smul_left, conj_of_real, of_real_mul_re] }
 #align inner_product_space.is_R_or_C_to_real InnerProductSpace.isROrCToReal
+-/
 
 variable {E}
 
+/- warning: real_inner_eq_re_inner -> real_inner_eq_re_inner is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (Inner.inner.{0, u2} Real E (Inner.isROrCToReal.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E) (y : E), Eq.{1} Real (Inner.inner.{0, u2} Real E (Inner.isROrCToReal.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y) (FunLike.coe.{succ u1, succ u1, 1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u1, u1, 0} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonUnitalSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x y))
+Case conversion may be inaccurate. Consider using '#align real_inner_eq_re_inner real_inner_eq_re_innerₓ'. -/
 theorem real_inner_eq_re_inner (x y : E) :
-    @HasInner.inner ℝ E (HasInner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
+    @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
   rfl
 #align real_inner_eq_re_inner real_inner_eq_re_inner
 
-theorem real_inner_i_smul_self (x : E) :
-    @HasInner.inner ℝ E (HasInner.isROrCToReal 𝕜 E) x ((i : 𝕜) • x) = 0 := by
+/- warning: real_inner_I_smul_self -> real_inner_I_smul_self is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (Inner.inner.{0, u2} Real E (Inner.isROrCToReal.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (x : E), Eq.{1} Real (Inner.inner.{0, u2} Real E (Inner.isROrCToReal.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) x (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))
+Case conversion may be inaccurate. Consider using '#align real_inner_I_smul_self real_inner_I_smul_selfₓ'. -/
+theorem real_inner_I_smul_self (x : E) :
+    @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x ((i : 𝕜) • x) = 0 := by
   simp [real_inner_eq_re_inner, inner_smul_right]
-#align real_inner_I_smul_self real_inner_i_smul_self
+#align real_inner_I_smul_self real_inner_I_smul_self
 
 omit 𝕜
 
+/- warning: inner_product_space.complex_to_real -> InnerProductSpace.complexToReal is a dubious translation:
+lean 3 declaration is
+  forall {G : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} G] [_inst_7 : InnerProductSpace.{0, u1} Complex G Complex.isROrC _inst_6], InnerProductSpace.{0, u1} Real G Real.isROrC _inst_6
+but is expected to have type
+  forall {G : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} G] [_inst_7 : InnerProductSpace.{0, u1} Complex G Complex.instIsROrCComplex _inst_6], InnerProductSpace.{0, u1} Real G Real.isROrC _inst_6
+Case conversion may be inaccurate. Consider using '#align inner_product_space.complex_to_real InnerProductSpace.complexToRealₓ'. -/
 /-- A complex inner product implies a real inner product -/
 instance InnerProductSpace.complexToReal [NormedAddCommGroup G] [InnerProductSpace ℂ G] :
     InnerProductSpace ℝ G :=
   InnerProductSpace.isROrCToReal ℂ G
 #align inner_product_space.complex_to_real InnerProductSpace.complexToReal
 
+/- warning: complex.inner -> Complex.inner is a dubious translation:
+lean 3 declaration is
+  forall (w : Complex) (z : Complex), Eq.{1} Real (Inner.inner.{0, 0} Real Complex (InnerProductSpace.toHasInner.{0, 0} Real Complex Real.isROrC (NonUnitalNormedRing.toNormedAddCommGroup.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (InnerProductSpace.complexToReal.{0} Complex (NonUnitalNormedRing.toNormedAddCommGroup.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex (DenselyNormedField.toNormedField.{0} Complex (IsROrC.toDenselyNormedField.{0} Complex Complex.isROrC)))))) (IsROrC.innerProductSpace.{0} Complex Complex.isROrC))) w z) (Complex.re (HMul.hMul.{0, 0, 0} Complex Complex Complex (instHMul.{0} Complex Complex.hasMul) (coeFn.{1, 1} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (fun (_x : RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) => Complex -> Complex) (RingHom.hasCoeToFun.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (starRingEnd.{0} Complex Complex.commSemiring Complex.starRing) w) z))
+but is expected to have type
+  forall (w : Complex) (z : Complex), Eq.{1} Real (Inner.inner.{0, 0} Real Complex (InnerProductSpace.toInner.{0, 0} Real Complex Real.isROrC Complex.instNormedAddCommGroupComplex (InnerProductSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (IsROrC.innerProductSpace.{0} Complex Complex.instIsROrCComplex))) w z) (Complex.re (HMul.hMul.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Complex) => Complex) w) Complex ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Complex) => Complex) w) (instHMul.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Complex) => Complex) w) Complex.instMulComplex) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex (fun (_x : Complex) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Complex) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (RingHom.instRingHomClassRingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))))) (starRingEnd.{0} Complex Complex.instCommSemiringComplex Complex.instStarRingComplexToNonUnitalSemiringToNonUnitalCommSemiringToNonUnitalCommRingCommRing) w) z))
+Case conversion may be inaccurate. Consider using '#align complex.inner Complex.innerₓ'. -/
 @[simp]
 protected theorem Complex.inner (w z : ℂ) : ⟪w, z⟫_ℝ = (conj w * z).re :=
   rfl
 #align complex.inner Complex.inner
 
+/- warning: inner_map_complex -> inner_map_complex is a dubious translation:
+lean 3 declaration is
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Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) G Complex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.module.{0} Real Real.semiring Real.module)) => G -> Complex) (LinearIsometryEquiv.hasCoeToFun.{0, 0, u1, 0} Real Real G Complex Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real 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+but is expected to have type
+  forall {G : Type.{u1}} [_inst_6 : NormedAddCommGroup.{u1} G] [_inst_7 : InnerProductSpace.{0, u1} Real G Real.isROrC _inst_6] (f : LinearIsometryEquiv.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) G Complex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) 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(IsROrC.innerProductSpace.{0} Real Real.isROrC))))) G (fun (_x : G) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : G) => Complex) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (LinearIsometryEquiv.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) G Complex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC))))) G Complex (UniformSpace.toTopologicalSpace.{u1} G (PseudoMetricSpace.toUniformSpace.{u1} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6)))) (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, 0, 0, u1, 0} (LinearIsometryEquiv.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) G Complex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC))))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) G (UniformSpace.toTopologicalSpace.{u1} G (PseudoMetricSpace.toUniformSpace.{u1} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u1} G (SeminormedAddCommGroup.toAddCommGroup.{u1} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC)))) (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{0, 0, u1, 0, u1} Real Real G Complex (LinearIsometryEquiv.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) G Complex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC))))) Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC)))) (SemilinearIsometryEquivClass.instSemilinearIsometryClass.{0, 0, u1, 0, u1} Real Real G Complex (LinearIsometryEquiv.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) G Complex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC))))) Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC)))) (LinearIsometryEquiv.instSemilinearIsometryEquivClassLinearIsometryEquiv.{0, 0, u1, 0} Real Real G Complex Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.toModule.{0, u1} Real G Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} G _inst_6) (InnerProductSpace.toNormedSpace.{0, u1} Real G Real.isROrC _inst_6 _inst_7)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (InnerProductSpace.toNormedSpace.{0, 0} Real Real Real.isROrC Real.normedAddCommGroup (IsROrC.innerProductSpace.{0} Real Real.isROrC))))))))) f y)))
+Case conversion may be inaccurate. Consider using '#align inner_map_complex inner_map_complexₓ'. -/
 /-- The inner product on an inner product space of dimension 2 can be evaluated in terms
 of a complex-number representation of the space. -/
 theorem inner_map_complex [NormedAddCommGroup G] [InnerProductSpace ℝ G] (f : G ≃ₗᵢ[ℝ] ℂ)
@@ -2337,6 +3760,12 @@ section Continuous
 -/
 
 
+/- warning: continuous_inner -> continuous_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} E E) 𝕜 (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (p : Prod.{u2, u2} E E) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} E E) 𝕜 (instTopologicalSpaceProd.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (p : Prod.{u2, u2} E E) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p))
+Case conversion may be inaccurate. Consider using '#align continuous_inner continuous_innerₓ'. -/
 theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
   letI : InnerProductSpace ℝ E := InnerProductSpace.isROrCToReal 𝕜 E
   is_bounded_bilinear_map_inner.continuous
@@ -2344,53 +3773,83 @@ theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
 
 variable {α : Type _}
 
+#print Filter.Tendsto.inner /-
 theorem Filter.Tendsto.inner {f g : α → E} {l : Filter α} {x y : E} (hf : Tendsto f l (𝓝 x))
     (hg : Tendsto g l (𝓝 y)) : Tendsto (fun t => ⟪f t, g t⟫) l (𝓝 ⟪x, y⟫) :=
   (continuous_inner.Tendsto _).comp (hf.prod_mk_nhds hg)
 #align filter.tendsto.inner Filter.Tendsto.inner
+-/
 
 variable [TopologicalSpace α] {f g : α → E} {x : α} {s : Set α}
 
 include 𝕜
 
+#print ContinuousWithinAt.inner /-
 theorem ContinuousWithinAt.inner (hf : ContinuousWithinAt f s x) (hg : ContinuousWithinAt g s x) :
     ContinuousWithinAt (fun t => ⟪f t, g t⟫) s x :=
   hf.inner hg
 #align continuous_within_at.inner ContinuousWithinAt.inner
+-/
 
+#print ContinuousAt.inner /-
 theorem ContinuousAt.inner (hf : ContinuousAt f x) (hg : ContinuousAt g x) :
     ContinuousAt (fun t => ⟪f t, g t⟫) x :=
   hf.inner hg
 #align continuous_at.inner ContinuousAt.inner
+-/
 
+#print ContinuousOn.inner /-
 theorem ContinuousOn.inner (hf : ContinuousOn f s) (hg : ContinuousOn g s) :
     ContinuousOn (fun t => ⟪f t, g t⟫) s := fun x hx => (hf x hx).inner (hg x hx)
 #align continuous_on.inner ContinuousOn.inner
+-/
 
+#print Continuous.inner /-
 @[continuity]
 theorem Continuous.inner (hf : Continuous f) (hg : Continuous g) : Continuous fun t => ⟪f t, g t⟫ :=
   continuous_iff_continuousAt.2 fun x => hf.ContinuousAt.inner hg.ContinuousAt
 #align continuous.inner Continuous.inner
+-/
 
 end Continuous
 
 section ReApplyInnerSelf
 
+#print ContinuousLinearMap.reApplyInnerSelf /-
 /-- Extract a real bilinear form from an operator `T`, by taking the pairing `λ x, re ⟪T x, x⟫`. -/
 def ContinuousLinearMap.reApplyInnerSelf (T : E →L[𝕜] E) (x : E) : ℝ :=
   re ⟪T x, x⟫
 #align continuous_linear_map.re_apply_inner_self ContinuousLinearMap.reApplyInnerSelf
+-/
 
+/- warning: continuous_linear_map.re_apply_inner_self_apply -> ContinuousLinearMap.reApplyInnerSelf_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : E), Eq.{1} Real (ContinuousLinearMap.reApplyInnerSelf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T x) (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) => E -> E) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) T x) x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : E), Eq.{1} Real (ContinuousLinearMap.reApplyInnerSelf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T x) (FunLike.coe.{succ u2, succ u2, 1} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : 𝕜) => Real) _x) (AddHomClass.toFunLike.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddZeroClass.toAdd.{u2} 𝕜 (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u2, u2, 0} (AddMonoidHom.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u2, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u2} 𝕜 (AddCommMonoid.toAddMonoid.{u2} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonUnitalSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (CommRing.toRing.{u2} 𝕜 (Field.toCommRing.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u2} 𝕜 _inst_1) (Inner.inner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) x) (InnerProductSpace.toInner.{u2, u1} 𝕜 ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) x) _inst_1 _inst_2 _inst_3) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) E E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, u2, u2, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) T x) x))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_apply ContinuousLinearMap.reApplyInnerSelf_applyₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_apply (T : E →L[𝕜] E) (x : E) :
     T.reApplyInnerSelf x = re ⟪T x, x⟫ :=
   rfl
 #align continuous_linear_map.re_apply_inner_self_apply ContinuousLinearMap.reApplyInnerSelf_apply
 
+/- warning: continuous_linear_map.re_apply_inner_self_continuous -> ContinuousLinearMap.reApplyInnerSelf_continuous is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))), Continuous.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousLinearMap.reApplyInnerSelf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))), Continuous.{u1, 0} E Real (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousLinearMap.reApplyInnerSelf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuousₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_continuous (T : E →L[𝕜] E) :
     Continuous T.reApplyInnerSelf :=
   reClm.Continuous.comp <| T.Continuous.inner continuous_id
 #align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuous
 
+/- warning: continuous_linear_map.re_apply_inner_self_smul -> ContinuousLinearMap.reApplyInnerSelf_smul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : E) {c : 𝕜}, Eq.{1} Real (ContinuousLinearMap.reApplyInnerSelf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (InnerProductSpace.toNormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) c x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) c) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ContinuousLinearMap.reApplyInnerSelf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (T : ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) (x : E) {c : 𝕜}, Eq.{1} Real (ContinuousLinearMap.reApplyInnerSelf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) (InnerProductSpace.toNormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))))) c x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1))) c) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ContinuousLinearMap.reApplyInnerSelf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T x))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.re_apply_inner_self_smul ContinuousLinearMap.reApplyInnerSelf_smulₓ'. -/
 theorem ContinuousLinearMap.reApplyInnerSelf_smul (T : E →L[𝕜] E) (x : E) {c : 𝕜} :
     T.reApplyInnerSelf (c • x) = ‖c‖ ^ 2 * T.reApplyInnerSelf x := by
   simp only [ContinuousLinearMap.map_smul, ContinuousLinearMap.reApplyInnerSelf_apply,
@@ -2404,16 +3863,28 @@ namespace UniformSpace.Completion
 
 open UniformSpace Function
 
-instance {𝕜' E' : Type _} [TopologicalSpace 𝕜'] [UniformSpace E'] [HasInner 𝕜' E'] :
-    HasInner 𝕜' (Completion E')
+instance {𝕜' E' : Type _} [TopologicalSpace 𝕜'] [UniformSpace E'] [Inner 𝕜' E'] :
+    Inner 𝕜' (Completion E')
     where inner := curry <| (denseInducing_coe.Prod denseInducing_coe).extend (uncurry inner)
 
+/- warning: uniform_space.completion.inner_coe -> UniformSpace.Completion.inner_coe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] (a : E) (b : E), Eq.{succ u1} 𝕜 (Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.hasInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) E (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} E (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} E (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.hasCoeT.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) a) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) E (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} E (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} E (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.hasCoeT.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) b)) (Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) a b)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : InnerProductSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] (a : E) (b : E), Eq.{succ u2} 𝕜 (Inner.inner.{u2, u1} 𝕜 (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (UniformSpace.Completion.toInner.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (DenselyNormedField.toNormedField.{u2} 𝕜 (IsROrC.toDenselyNormedField.{u2} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (UniformSpace.Completion.coe'.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) a) (UniformSpace.Completion.coe'.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))) b)) (Inner.inner.{u2, u1} 𝕜 E (InnerProductSpace.toInner.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) a b)
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.inner_coe UniformSpace.Completion.inner_coeₓ'. -/
 @[simp]
 theorem inner_coe (a b : E) : inner (a : Completion E) (b : Completion E) = (inner a b : 𝕜) :=
   (denseInducing_coe.Prod denseInducing_coe).extend_eq
     (continuous_inner : Continuous (uncurry inner : E × E → 𝕜)) (a, b)
 #align uniform_space.completion.inner_coe UniformSpace.Completion.inner_coe
 
+/- warning: uniform_space.completion.continuous_inner -> UniformSpace.Completion.continuous_inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 𝕜 (Prod.topologicalSpace.{u2, u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.normedAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.normedAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Function.uncurry.{u2, u2, u1} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) 𝕜 (Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.hasInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Continuous.{u2, u1} (Prod.{u2, u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 𝕜 (instTopologicalSpaceProd.{u2, u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (Function.uncurry.{u2, u2, u1} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) 𝕜 (Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.toInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_inner UniformSpace.Completion.continuous_innerₓ'. -/
 protected theorem continuous_inner : Continuous (uncurry inner : Completion E × Completion E → 𝕜) :=
   by
   let inner' : E →+ E →+ 𝕜 :=
@@ -2429,6 +3900,12 @@ protected theorem continuous_inner : Continuous (uncurry inner : Completion E ×
   exact (dense_inducing_to_compl E).extend_Z_bilin (dense_inducing_to_compl E) this
 #align uniform_space.completion.continuous_inner UniformSpace.Completion.continuous_inner
 
+/- warning: uniform_space.completion.continuous.inner -> UniformSpace.Completion.Continuous.inner is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {α : Type.{u3}} [_inst_6 : TopologicalSpace.{u3} α] {f : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))} {g : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))}, (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.normedAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) f) -> (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.normedAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) g) -> (Continuous.{u3, u1} α 𝕜 _inst_6 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (x : α) => Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.hasInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toHasInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (f x) (g x)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {α : Type.{u3}} [_inst_6 : TopologicalSpace.{u3} α] {f : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))} {g : α -> (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))}, (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) f) -> (Continuous.{u3, u2} α (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_6 (UniformSpace.toTopologicalSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.instNormedAddCommGroupCompletionToUniformSpaceToPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) g) -> (Continuous.{u3, u1} α 𝕜 _inst_6 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (x : α) => Inner.inner.{u1, u2} 𝕜 (UniformSpace.Completion.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.Completion.toInner.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (f x) (g x)))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous.inner UniformSpace.Completion.Continuous.innerₓ'. -/
 protected theorem Continuous.inner {α : Type _} [TopologicalSpace α] {f g : α → Completion E}
     (hf : Continuous f) (hg : Continuous g) : Continuous (fun x : α => inner (f x) (g x) : α → 𝕜) :=
   UniformSpace.Completion.continuous_inner.comp (hf.prod_mk hg : _)

mathlib commit https://github.com/leanprover-community/mathlib/commit/f51de8769c34652d82d1c8e5f8f18f8374782bed

@@ -1915,7 +1915,7 @@ such an instance by restriction-of-scalars, `inner_product_space.is_R_or_C_to_re
 instance may be not definitionally equal to some other “natural” instance. So, we assume
 `[normed_space ℝ E]`.
 -/
-theorem isBoundedBilinearMapInner [NormedSpace ℝ E] :
+theorem isBoundedBilinearMap_inner [NormedSpace ℝ E] :
     IsBoundedBilinearMap ℝ fun p : E × E => ⟪p.1, p.2⟫ :=
   { add_left := inner_add_left
     smul_left := fun r x y => by
@@ -1927,7 +1927,7 @@ theorem isBoundedBilinearMapInner [NormedSpace ℝ E] :
       ⟨1, zero_lt_one, fun x y => by
         rw [one_mul]
         exact norm_inner_le_norm x y⟩ }
-#align is_bounded_bilinear_map_inner isBoundedBilinearMapInner
+#align is_bounded_bilinear_map_inner isBoundedBilinearMap_inner
 
 end Norm
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -983,7 +983,7 @@ theorem orthonormalUnionOfDirected {η : Type _} {s : η → Set E} (hs : Direct
 theorem orthonormalSUnionOfDirected {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
     (h : ∀ a ∈ s, Orthonormal 𝕜 (fun x => x : (a : Set E) → E)) :
     Orthonormal 𝕜 (fun x => x : ⋃₀ s → E) := by
-  rw [Set.unionₛ_eq_unionᵢ] <;> exact orthonormalUnionOfDirected hs.directed_coe (by simpa using h)
+  rw [Set.sUnion_eq_iUnion] <;> exact orthonormalUnionOfDirected hs.directed_coe (by simpa using h)
 #align orthonormal_sUnion_of_directed orthonormalSUnionOfDirected
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
@@ -999,7 +999,7 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
     exact fun u hus hu => h u hu hus
   · refine' fun c hc cc c0 => ⟨⋃₀ c, _, _⟩
     · exact orthonormalSUnionOfDirected cc.directed_on fun x xc => hc xc
-    · exact fun _ => Set.subset_unionₛ_of_mem
+    · exact fun _ => Set.subset_sUnion_of_mem
 #align exists_maximal_orthonormal exists_maximal_orthonormal
 
 theorem Orthonormal.ne_zero {v : ι → E} (hv : Orthonormal 𝕜 v) (i : ι) : v i ≠ 0 :=
@@ -1973,7 +1973,7 @@ theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
   apply hasSum_of_isLUB_of_nonneg
   · intro b
     simp only [norm_nonneg, pow_nonneg]
-  · refine' isLUB_csupᵢ _
+  · refine' isLUB_ciSup _
     use ‖x‖ ^ 2
     rintro y ⟨s, rfl⟩
     exact hv.sum_inner_products_le x

mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740

@@ -598,7 +598,7 @@ theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
 
 @[simp]
 theorem inner_self_re_to_K (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
-  ((IsROrC.is_real_tFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
+  ((IsROrC.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
 #align inner_self_re_to_K inner_self_re_to_K
 
 theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) := by
@@ -930,10 +930,10 @@ theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
 
 /-- If `v : ι → E` is an orthonormal family, then `coe : (range v) → E` is an orthonormal
 family. -/
-theorem Orthonormal.to_subtype_range {v : ι → E} (hv : Orthonormal 𝕜 v) :
+theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
     Orthonormal 𝕜 (coe : Set.range v → E) :=
   (orthonormal_subtype_range hv.LinearIndependent.Injective).2 hv
-#align orthonormal.to_subtype_range Orthonormal.to_subtype_range
+#align orthonormal.to_subtype_range Orthonormal.toSubtypeRange
 
 /-- A linear combination of some subset of an orthonormal set is orthogonal to other members of the
 set. -/
@@ -947,7 +947,7 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
 
 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
-theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
+theorem Orthonormal.orthonormalOfForallEqOrEqNeg {v w : ι → E} (hv : Orthonormal 𝕜 v)
     (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
   classical
     rw [orthonormal_iff_ite] at *
@@ -955,20 +955,20 @@ theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Or
     cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
       simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
         neg_eq_zero] using hv i j
-#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
+#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormalOfForallEqOrEqNeg
 
 /- The material that follows, culminating in the existence of a maximal orthonormal subset, is
 adapted from the corresponding development of the theory of linearly independents sets.  See
 `exists_linear_independent` in particular. -/
 variable (𝕜 E)
 
-theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
+theorem orthonormalEmpty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
   classical simp [orthonormal_subtype_iff_ite]
-#align orthonormal_empty orthonormal_empty
+#align orthonormal_empty orthonormalEmpty
 
 variable {𝕜 E}
 
-theorem orthonormal_unionᵢ_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
+theorem orthonormalUnionOfDirected {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
   by
   classical
@@ -978,14 +978,13 @@ theorem orthonormal_unionᵢ_of_directed {η : Type _} {s : η → Set E} (hs :
     have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
     rw [orthonormal_subtype_iff_ite] at h_orth
     exact h_orth x (hik hxi) y (hjk hyj)
-#align orthonormal_Union_of_directed orthonormal_unionᵢ_of_directed
+#align orthonormal_Union_of_directed orthonormalUnionOfDirected
 
-theorem orthonormal_unionₛ_of_directed {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
+theorem orthonormalSUnionOfDirected {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
     (h : ∀ a ∈ s, Orthonormal 𝕜 (fun x => x : (a : Set E) → E)) :
     Orthonormal 𝕜 (fun x => x : ⋃₀ s → E) := by
-  rw [Set.unionₛ_eq_unionᵢ] <;>
-    exact orthonormal_unionᵢ_of_directed hs.directed_coe (by simpa using h)
-#align orthonormal_sUnion_of_directed orthonormal_unionₛ_of_directed
+  rw [Set.unionₛ_eq_unionᵢ] <;> exact orthonormalUnionOfDirected hs.directed_coe (by simpa using h)
+#align orthonormal_sUnion_of_directed orthonormalSUnionOfDirected
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
@@ -999,7 +998,7 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
   · refine' ⟨b, sb, bi, _⟩
     exact fun u hus hu => h u hu hus
   · refine' fun c hc cc c0 => ⟨⋃₀ c, _, _⟩
-    · exact orthonormal_unionₛ_of_directed cc.directed_on fun x xc => hc xc
+    · exact orthonormalSUnionOfDirected cc.directed_on fun x xc => hc xc
     · exact fun _ => Set.subset_unionₛ_of_mem
 #align exists_maximal_orthonormal exists_maximal_orthonormal
 
@@ -1376,22 +1375,22 @@ theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 
 /-- A linear isometry preserves the property of being orthonormal. -/
-theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
+theorem Orthonormal.compLinearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) := by rwa [f.orthonormal_comp_iff]
-#align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometry
+#align orthonormal.comp_linear_isometry Orthonormal.compLinearIsometry
 
 /-- A linear isometric equivalence preserves the property of being orthonormal. -/
-theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
+theorem Orthonormal.compLinearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) :=
-  hv.comp_linearIsometry f.toLinearIsometry
-#align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquiv
+  hv.compLinearIsometry f.toLinearIsometry
+#align orthonormal.comp_linear_isometry_equiv Orthonormal.compLinearIsometryEquiv
 
 /-- A linear isometric equivalence, applied with `basis.map`, preserves the property of being
 orthonormal. -/
-theorem Orthonormal.map_linearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
+theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (f : E ≃ₗᵢ[𝕜] E') : Orthonormal 𝕜 (v.map f.toLinearEquiv) :=
-  hv.comp_linearIsometryEquiv f
-#align orthonormal.map_linear_isometry_equiv Orthonormal.map_linearIsometryEquiv
+  hv.compLinearIsometryEquiv f
+#align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquiv
 
 /-- A linear map that sends an orthonormal basis to orthonormal vectors is a linear isometry. -/
 def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2023,12 +2022,12 @@ theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
-theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
+theorem orthonormalSpan {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
   hv.codRestrict (Submodule.span 𝕜 (Set.range v)) fun i =>
     Submodule.subset_span (Set.mem_range_self i)
-#align orthonormal_span orthonormal_span
+#align orthonormal_span orthonormalSpan
 
 /-! ### Families of mutually-orthogonal subspaces of an inner product space -/
 
@@ -2136,7 +2135,7 @@ theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injec
     OrthogonalFamily 𝕜 (fun g => G (f g)) fun g => V (f g) := fun i j hij v w => hV (hf.Ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
 
-theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
+theorem OrthogonalFamily.orthonormalSigmaOrthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 fun a : Σi, α i => V a.1 (v_family a.1 a.2) :=
   by
@@ -2151,7 +2150,7 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_f
       exact hvw rfl
     simpa only [LinearIsometry.inner_map_map] using (hv_family i).2 this
   · exact hV hij (v_family i v) (v_family j w)
-#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormal
+#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormalSigmaOrthonormal
 
 include dec_ι
 
@@ -2257,13 +2256,13 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 
 include dec_ι
 
-theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
+theorem DirectSum.IsInternal.collectedBasisOrthonormal {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
     {v_family : ∀ i, Basis (α i) 𝕜 (V i)} (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 (hV_sum.collectedBasis v_family) := by
   simpa only [hV_sum.collected_basis_coe] using hV.orthonormal_sigma_orthonormal hv_family
-#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormal
+#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasisOrthonormal
 
 end OrthogonalFamily
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/d4437c68c8d350fc9d4e95e1e174409db35e30d7

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 25580801f04aed44a0daf912d3760d0eaaf6d1bb
+! leanprover-community/mathlib commit 3f655f5297b030a87d641ad4e825af8d9679eb0b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -180,9 +180,6 @@ local notation "norm_sqK" => @IsROrC.normSq 𝕜 _
 -- mathport name: exprreK
 local notation "reK" => @IsROrC.re 𝕜 _
 
--- mathport name: exprabsK
-local notation "absK" => @IsROrC.abs 𝕜 _
-
 -- mathport name: exprext_iff
 local notation "ext_iff" => @IsROrC.ext_iff 𝕜 _
 
@@ -276,11 +273,7 @@ theorem inner_self_re_to_K (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_im]
 #align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_re_to_K
 
-theorem abs_inner_symm (x y : F) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_symm, abs_conj]
-#align inner_product_space.core.abs_inner_symm InnerProductSpace.Core.abs_inner_symm
-
-theorem norm_inner_symm (x y : F) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by
-  rw [IsROrC.norm_eq_abs, IsROrC.norm_eq_abs, abs_inner_symm]
+theorem norm_inner_symm (x y : F) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
 #align inner_product_space.core.norm_inner_symm InnerProductSpace.Core.norm_inner_symm
 
 theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ :=
@@ -301,11 +294,11 @@ theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ :
   simp [sub_eq_add_neg, inner_add_right, inner_neg_right]
 #align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_right
 
-theorem inner_mul_conj_re_abs (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
+theorem inner_mul_symm_re_eq_norm (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
   by
   rw [← inner_conj_symm, mul_comm]
-  exact re_eq_abs_of_mul_conj (inner y x)
-#align inner_product_space.core.inner_mul_conj_re_abs InnerProductSpace.Core.inner_mul_conj_re_abs
+  exact re_eq_norm_of_mul_conj (inner y x)
+#align inner_product_space.core.inner_mul_symm_re_eq_norm InnerProductSpace.Core.inner_mul_symm_re_eq_norm
 
 /-- Expand `inner (x + y) (x + y)` -/
 theorem inner_add_add_self (x y : F) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
@@ -385,7 +378,7 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
       add_le' := fun x y =>
         by
         have h₁ : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ := norm_inner_le_norm _ _
-        have h₂ : re ⟪x, y⟫ ≤ ‖⟪x, y⟫‖ := (re_le_abs _).trans_eq (IsROrC.norm_eq_abs _).symm
+        have h₂ : re ⟪x, y⟫ ≤ ‖⟪x, y⟫‖ := re_le_norm _
         have h₃ : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ := h₂.trans h₁
         have h₄ : re ⟪y, x⟫ ≤ ‖x‖ * ‖y‖ := by rwa [← inner_conj_symm, conj_re]
         have : ‖x + y‖ * ‖x + y‖ ≤ (‖x‖ + ‖y‖) * (‖x‖ + ‖y‖) :=
@@ -446,12 +439,6 @@ local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 -- mathport name: exprIK
 local notation "IK" => @IsROrC.i 𝕜 _
 
--- mathport name: exprabsR
-local notation "absR" => Abs.abs
-
--- mathport name: exprabsK
-local notation "absK" => @IsROrC.abs 𝕜 _
-
 -- mathport name: «expr †»
 local postfix:90 "†" => starRingEnd _
 
@@ -611,25 +598,29 @@ theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
 
 @[simp]
 theorem inner_self_re_to_K (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
-  IsROrC.ext_iff.2 ⟨by simp only [of_real_re], by simp only [inner_self_im, of_real_im]⟩
+  ((IsROrC.is_real_tFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
 #align inner_self_re_to_K inner_self_re_to_K
 
 theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) := by
   rw [← inner_self_re_to_K, ← norm_sq_eq_inner, of_real_pow]
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
 
-theorem inner_self_re_abs (x : E) : re ⟪x, x⟫ = abs ⟪x, x⟫ :=
+theorem inner_self_re_eq_norm (x : E) : re ⟪x, x⟫ = ‖⟪x, x⟫‖ :=
   by
   conv_rhs => rw [← inner_self_re_to_K]
   symm
-  exact IsROrC.abs_of_nonneg inner_self_nonneg
-#align inner_self_re_abs inner_self_re_abs
+  exact norm_of_nonneg inner_self_nonneg
+#align inner_self_re_eq_norm inner_self_re_eq_norm
 
-theorem inner_self_abs_to_K (x : E) : (absK ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
+theorem inner_self_norm_to_K (x : E) : (‖⟪x, x⟫‖ : 𝕜) = ⟪x, x⟫ :=
   by
-  rw [← inner_self_re_abs]
+  rw [← inner_self_re_eq_norm]
   exact inner_self_re_to_K _
-#align inner_self_abs_to_K inner_self_abs_to_K
+#align inner_self_norm_to_K inner_self_norm_to_K
+
+theorem real_inner_self_abs (x : F) : |⟪x, x⟫_ℝ| = ⟪x, x⟫_ℝ :=
+  @inner_self_norm_to_K ℝ F _ _ _ x
+#align real_inner_self_abs real_inner_self_abs
 
 @[simp]
 theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 := by
@@ -649,14 +640,8 @@ theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
   @inner_self_nonpos ℝ F _ _ _ x
 #align real_inner_self_nonpos real_inner_self_nonpos
 
-theorem real_inner_self_abs (x : F) : absR ⟪x, x⟫_ℝ = ⟪x, x⟫_ℝ :=
-  by
-  have h := @inner_self_abs_to_K ℝ F _ _ _ x
-  simpa using h
-#align real_inner_self_abs real_inner_self_abs
-
-theorem abs_inner_symm (x y : E) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_symm, abs_conj]
-#align abs_inner_symm abs_inner_symm
+theorem norm_inner_symm (x y : E) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by rw [← inner_conj_symm, norm_conj]
+#align norm_inner_symm norm_inner_symm
 
 @[simp]
 theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ :=
@@ -686,11 +671,11 @@ theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ :
   simp [sub_eq_add_neg, inner_add_right]
 #align inner_sub_right inner_sub_right
 
-theorem inner_mul_conj_re_abs (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
+theorem inner_mul_symm_re_eq_norm (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = ‖⟪x, y⟫ * ⟪y, x⟫‖ :=
   by
   rw [← inner_conj_symm, mul_comm]
-  exact re_eq_abs_of_mul_conj (inner y x)
-#align inner_mul_conj_re_abs inner_mul_conj_re_abs
+  exact re_eq_norm_of_mul_conj (inner y x)
+#align inner_mul_symm_re_eq_norm inner_mul_symm_re_eq_norm
 
 /-- Expand `⟪x + y, x + y⟫` -/
 theorem inner_add_add_self (x y : E) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
@@ -1154,16 +1139,12 @@ theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   exact InnerProductSpace.Core.norm_inner_le_norm x y
 #align norm_inner_le_norm norm_inner_le_norm
 
-theorem abs_inner_le_norm (x y : E) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
-  (norm_eq_abs ⟪x, y⟫).symm.trans_le (norm_inner_le_norm _ _)
-#align abs_inner_le_norm abs_inner_le_norm
-
 theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ * ‖y‖₊ :=
   norm_inner_le_norm x y
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
 
 theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
-  le_trans (re_le_abs (inner x y)) (abs_inner_le_norm x y)
+  le_trans (re_le_norm (inner x y)) (norm_inner_le_norm x y)
 #align re_inner_le_norm re_inner_le_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
@@ -1608,9 +1589,9 @@ theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w
 
 /-- The real inner product of two vectors, divided by the product of their
 norms, has absolute value at most 1. -/
-theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : absR (⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)) ≤ 1 :=
+theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| ≤ 1 :=
   by
-  rw [_root_.abs_div, _root_.abs_mul, abs_norm, abs_norm]
+  rw [abs_div, abs_mul, abs_norm, abs_norm]
   exact div_le_one_of_le (abs_real_inner_le_norm x y) (by positivity)
 #align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_one
 
@@ -1627,24 +1608,22 @@ theorem real_inner_smul_self_right (x : F) (r : ℝ) : ⟪x, r • x⟫_ℝ = r
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
-theorem abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r : 𝕜} (hx : x ≠ 0)
-    (hr : r ≠ 0) : abs ⟪x, r • x⟫ / (‖x‖ * ‖r • x‖) = 1 :=
+theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r : 𝕜} (hx : x ≠ 0)
+    (hr : r ≠ 0) : ‖⟪x, r • x⟫‖ / (‖x‖ * ‖r • x‖) = 1 :=
   by
-  have hx' : ‖x‖ ≠ 0 := by simp [norm_eq_zero, hx]
-  have hr' : abs r ≠ 0 := by simp [IsROrC.abs_eq_zero, hr]
-  rw [inner_smul_right, IsROrC.abs_mul, ← inner_self_re_abs, inner_self_eq_norm_mul_norm, norm_smul]
-  rw [IsROrC.norm_eq_abs, ← mul_assoc, ← div_div, mul_div_cancel _ hx', ← div_div, mul_comm,
-    mul_div_cancel _ hr', div_self hx']
-#align abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
+  have hx' : ‖x‖ ≠ 0 := by simp [hx]
+  have hr' : ‖r‖ ≠ 0 := by simp [hr]
+  rw [inner_smul_right, norm_mul, ← inner_self_re_eq_norm, inner_self_eq_norm_mul_norm, norm_smul]
+  rw [← mul_assoc, ← div_div, mul_div_cancel _ hx', ← div_div, mul_comm, mul_div_cancel _ hr',
+    div_self hx']
+#align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
 /-- The inner product of a nonzero vector with a nonzero multiple of
 itself, divided by the product of their norms, has absolute value
 1. -/
 theorem abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : F} {r : ℝ}
-    (hx : x ≠ 0) (hr : r ≠ 0) : absR ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = 1 :=
-  by
-  rw [← abs_to_real]
-  exact abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
+    (hx : x ≠ 0) (hr : r ≠ 0) : |⟪x, r • x⟫_ℝ| / (‖x‖ * ‖r • x‖) = 1 :=
+  norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
 /-- The inner product of a nonzero vector with a positive multiple of
@@ -1652,9 +1631,9 @@ itself, divided by the product of their norms, has value 1. -/
 theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : ℝ} (hx : x ≠ 0)
     (hr : 0 < r) : ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = 1 :=
   by
-  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (absR r),
-    mul_assoc, _root_.abs_of_nonneg (le_of_lt hr), div_self]
-  exact mul_ne_zero (ne_of_gt hr) fun h => hx (norm_eq_zero.1 (eq_zero_of_mul_self_eq_zero h))
+  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (|r|),
+    mul_assoc, abs_of_nonneg hr.le, div_self]
+  exact mul_ne_zero hr.ne' (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul
 
 /-- The inner product of a nonzero vector with a negative multiple of
@@ -1721,8 +1700,8 @@ theorem norm_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     refine' ⟨hx₀, (norm_inner_eq_norm_iff hx₀ hy₀).1 <| eq_of_div_eq_one _⟩
     simpa using h
   · rintro ⟨hx, ⟨r, ⟨hr, rfl⟩⟩⟩
-    simp only [IsROrC.abs_div, IsROrC.abs_mul, IsROrC.abs_of_real, IsROrC.norm_eq_abs, abs_norm]
-    exact abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
+    simp only [norm_div, norm_mul, norm_of_real, abs_norm]
+    exact norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iff
 
 /-- The inner product of two vectors, divided by the product of their
@@ -1742,7 +1721,7 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
   · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
       ((@norm_inner_eq_norm_tFAE 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
     rw [this.resolve_left h₀, h]
-    simp [norm_smul, IsROrC.norm_eq_abs, inner_self_abs_to_K, h₀']
+    simp [norm_smul, inner_self_norm_to_K, h₀']
   · conv_lhs => rw [← h, inner_smul_right, inner_self_eq_norm_sq_to_K]
     field_simp [sq, mul_left_comm]
 #align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
@@ -1880,7 +1859,7 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ :=
   · refine' (mul_le_mul_right (norm_pos_iff.2 h)).mp _
     calc
       ‖x‖ * ‖x‖ = ‖(⟪x, x⟫ : 𝕜)‖ := by
-        rw [← sq, inner_self_eq_norm_sq_to_K, norm_pow, norm_of_real, norm_norm]
+        rw [← sq, inner_self_eq_norm_sq_to_K, norm_pow, norm_of_real, abs_norm]
       _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_opNorm _
       
 #align innerSL_apply_norm innerSL_apply_norm
@@ -2217,13 +2196,13 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
       use a
       intro s₁ hs₁ s₂ hs₂
       rw [← Finset.sum_sdiff_sub_sum_sdiff]
-      refine' (_root_.abs_sub _ _).trans_lt _
+      refine' (abs_sub _ _).trans_lt _
       have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
       simp only [Finset.abs_sum_of_nonneg' this]
       have : ((∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2) < sqrt ε ^ 2 :=
         by
-        rw [← hV.norm_sq_diff_sum, sq_lt_sq, _root_.abs_of_nonneg (sqrt_nonneg _),
-          _root_.abs_of_nonneg (norm_nonneg _)]
+        rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
+          abs_of_nonneg (norm_nonneg _)]
         exact H s₁ hs₁ s₂ hs₂
       have hη := sq_sqrt (le_of_lt hε)
       linarith

mathlib commit https://github.com/leanprover-community/mathlib/commit/3905fa80e62c0898131285baab35559fbc4e5cda

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 07992a1d1f7a4176c6d3f160209608be4e198566
+! leanprover-community/mathlib commit 25580801f04aed44a0daf912d3760d0eaaf6d1bb
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -327,8 +327,8 @@ theorem cauchy_schwarz_aux (x y : F) :
   rw [← @of_real_inj 𝕜, coe_norm_sq_eq_inner_self]
   simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, conj_of_real, mul_sub, ←
     coe_norm_sq_eq_inner_self x, ← coe_norm_sq_eq_inner_self y]
-  rw [← mul_assoc, mul_conj, IsROrC.conj_mul_eq_normSq_left, norm_sq_eq_def', mul_left_comm, ←
-    inner_conj_symm y, mul_conj, norm_sq_eq_def']
+  rw [← mul_assoc, mul_conj, IsROrC.conj_mul, norm_sq_eq_def', mul_left_comm, ← inner_conj_symm y,
+    mul_conj, norm_sq_eq_def']
   push_cast
   ring
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
@@ -404,8 +404,7 @@ def toNormedSpace : NormedSpace 𝕜 F
     where norm_smul_le r x :=
     by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
-    rw [IsROrC.conj_mul_eq_normSq_left, of_real_mul_re, sqrt_mul, ← coe_norm_sq_eq_inner_self,
-      of_real_re]
+    rw [IsROrC.conj_mul, of_real_mul_re, sqrt_mul, ← coe_norm_sq_eq_inner_self, of_real_re]
     · simp [sqrt_norm_sq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
     · exact norm_sq_nonneg r
 #align inner_product_space.core.to_normed_space InnerProductSpace.Core.toNormedSpace

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 92c69b77c5a7dc0f7eeddb552508633305157caa
+! leanprover-community/mathlib commit 07992a1d1f7a4176c6d3f160209608be4e198566
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -137,8 +137,7 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 can construct an `inner_product_space` instance in `inner_product_space.of_core`. -/
 @[nolint has_nonempty_instance]
 structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [IsROrC 𝕜] [AddCommGroup F]
-  [Module 𝕜 F] where
-  inner : F → F → 𝕜
+  [Module 𝕜 F] extends HasInner 𝕜 F where
   conj_symm : ∀ x y, conj (inner y x) = inner x y
   nonneg_re : ∀ x, 0 ≤ re (inner x x)
   definite : ∀ x, inner x x = 0 → x = 0
@@ -151,7 +150,22 @@ of the normed space structure that it produces. However, all the instances we wi
 local to this proof. -/
 attribute [class] InnerProductSpace.Core
 
-namespace InnerProductSpace.ofCore
+/-- Define `inner_product_space.core` from `inner_product_space`. Defined to reuse lemmas about
+`inner_product_space.core` for `inner_product_space`s. Note that the `has_norm` instance provided by
+`inner_product_space.core.has_norm` is propositionally but not definitionally equal to the original
+norm. -/
+def InnerProductSpace.toCore [NormedAddCommGroup E] [c : InnerProductSpace 𝕜 E] :
+    InnerProductSpace.Core 𝕜 E :=
+  {
+    c with
+    nonneg_re := fun x => by
+      rw [← InnerProductSpace.norm_sq_eq_inner]
+      apply sq_nonneg
+    definite := fun x hx =>
+      norm_eq_zero.1 <| pow_eq_zero <| by rw [InnerProductSpace.norm_sq_eq_inner x, hx, map_zero] }
+#align inner_product_space.to_core InnerProductSpace.toCore
+
+namespace InnerProductSpace.Core
 
 variable [AddCommGroup F] [Module 𝕜 F] [c : InnerProductSpace.Core 𝕜 F]
 
@@ -175,211 +189,192 @@ local notation "ext_iff" => @IsROrC.ext_iff 𝕜 _
 -- mathport name: «expr †»
 local postfix:90 "†" => starRingEnd _
 
-/-- Inner product defined by the `inner_product_space.core` structure. -/
-def toHasInner : HasInner 𝕜 F where inner := c.inner
-#align inner_product_space.of_core.to_has_inner InnerProductSpace.OfCore.toHasInner
+/-- Inner product defined by the `inner_product_space.core` structure. We can't reuse
+`inner_product_space.core.to_has_inner` because it takes `inner_product_space.core` as an explicit
+argument. -/
+def toHasInner' : HasInner 𝕜 F :=
+  c.toHasInner
+#align inner_product_space.core.to_has_inner' InnerProductSpace.Core.toHasInner'
 
-attribute [local instance] to_has_inner
+attribute [local instance] to_has_inner'
 
 /-- The norm squared function for `inner_product_space.core` structure. -/
 def normSq (x : F) :=
   reK ⟪x, x⟫
-#align inner_product_space.of_core.norm_sq InnerProductSpace.OfCore.normSq
+#align inner_product_space.core.norm_sq InnerProductSpace.Core.normSq
 
 -- mathport name: exprnorm_sqF
 local notation "norm_sqF" => @normSq 𝕜 F _ _ _ _
 
 theorem inner_conj_symm (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
   c.conj_symm x y
-#align inner_product_space.of_core.inner_conj_symm InnerProductSpace.OfCore.inner_conj_symm
+#align inner_product_space.core.inner_conj_symm InnerProductSpace.Core.inner_conj_symm
 
 theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
-#align inner_product_space.of_core.inner_self_nonneg InnerProductSpace.OfCore.inner_self_nonneg
+#align inner_product_space.core.inner_self_nonneg InnerProductSpace.Core.inner_self_nonneg
 
 theorem inner_self_im (x : F) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
-#align inner_product_space.of_core.inner_self_im InnerProductSpace.OfCore.inner_self_im
+#align inner_product_space.core.inner_self_im InnerProductSpace.Core.inner_self_im
 
 theorem inner_add_left (x y z : F) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   c.add_left _ _ _
-#align inner_product_space.of_core.inner_add_left InnerProductSpace.OfCore.inner_add_left
+#align inner_product_space.core.inner_add_left InnerProductSpace.Core.inner_add_left
 
 theorem inner_add_right (x y z : F) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
   rw [← inner_conj_symm, inner_add_left, RingHom.map_add] <;> simp only [inner_conj_symm]
-#align inner_product_space.of_core.inner_add_right InnerProductSpace.OfCore.inner_add_right
+#align inner_product_space.core.inner_add_right InnerProductSpace.Core.inner_add_right
 
-theorem inner_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
+theorem coe_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
   by
   rw [ext_iff]
   exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_im, of_real_im]⟩
-#align inner_product_space.of_core.inner_norm_sq_eq_inner_self InnerProductSpace.OfCore.inner_normSq_eq_inner_self
+#align inner_product_space.core.coe_norm_sq_eq_inner_self InnerProductSpace.Core.coe_normSq_eq_inner_self
 
 theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
-#align inner_product_space.of_core.inner_re_symm InnerProductSpace.OfCore.inner_re_symm
+#align inner_product_space.core.inner_re_symm InnerProductSpace.Core.inner_re_symm
 
 theorem inner_im_symm (x y : F) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
-#align inner_product_space.of_core.inner_im_symm InnerProductSpace.OfCore.inner_im_symm
+#align inner_product_space.core.inner_im_symm InnerProductSpace.Core.inner_im_symm
 
 theorem inner_smul_left (x y : F) {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   c.smul_left _ _ _
-#align inner_product_space.of_core.inner_smul_left InnerProductSpace.OfCore.inner_smul_left
+#align inner_product_space.core.inner_smul_left InnerProductSpace.Core.inner_smul_left
 
 theorem inner_smul_right (x y : F) {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_smul_left] <;>
     simp only [conj_conj, inner_conj_symm, RingHom.map_mul]
-#align inner_product_space.of_core.inner_smul_right InnerProductSpace.OfCore.inner_smul_right
+#align inner_product_space.core.inner_smul_right InnerProductSpace.Core.inner_smul_right
 
 theorem inner_zero_left (x : F) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;>
     simp only [MulZeroClass.zero_mul, RingHom.map_zero]
-#align inner_product_space.of_core.inner_zero_left InnerProductSpace.OfCore.inner_zero_left
+#align inner_product_space.core.inner_zero_left InnerProductSpace.Core.inner_zero_left
 
 theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
   rw [← inner_conj_symm, inner_zero_left] <;> simp only [RingHom.map_zero]
-#align inner_product_space.of_core.inner_zero_right InnerProductSpace.OfCore.inner_zero_right
+#align inner_product_space.core.inner_zero_right InnerProductSpace.Core.inner_zero_right
 
 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
   ⟨c.definite _, by
     rintro rfl
     exact inner_zero_left _⟩
-#align inner_product_space.of_core.inner_self_eq_zero InnerProductSpace.OfCore.inner_self_eq_zero
+#align inner_product_space.core.inner_self_eq_zero InnerProductSpace.Core.inner_self_eq_zero
 
 theorem normSq_eq_zero {x : F} : norm_sqF x = 0 ↔ x = 0 :=
   Iff.trans
     (by simp only [norm_sq, ext_iff, map_zero, inner_self_im, eq_self_iff_true, and_true_iff])
     (@inner_self_eq_zero 𝕜 _ _ _ _ _ x)
-#align inner_product_space.of_core.norm_sq_eq_zero InnerProductSpace.OfCore.normSq_eq_zero
+#align inner_product_space.core.norm_sq_eq_zero InnerProductSpace.Core.normSq_eq_zero
 
 theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
-#align inner_product_space.of_core.inner_self_ne_zero InnerProductSpace.OfCore.inner_self_ne_zero
+#align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zero
 
 theorem inner_self_re_to_K (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_im]
-#align inner_product_space.of_core.inner_self_re_to_K InnerProductSpace.OfCore.inner_self_re_to_K
+#align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_re_to_K
 
 theorem abs_inner_symm (x y : F) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_symm, abs_conj]
-#align inner_product_space.of_core.abs_inner_symm InnerProductSpace.OfCore.abs_inner_symm
+#align inner_product_space.core.abs_inner_symm InnerProductSpace.Core.abs_inner_symm
+
+theorem norm_inner_symm (x y : F) : ‖⟪x, y⟫‖ = ‖⟪y, x⟫‖ := by
+  rw [IsROrC.norm_eq_abs, IsROrC.norm_eq_abs, abs_inner_symm]
+#align inner_product_space.core.norm_inner_symm InnerProductSpace.Core.norm_inner_symm
 
 theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   by
   rw [← neg_one_smul 𝕜 x, inner_smul_left]
   simp
-#align inner_product_space.of_core.inner_neg_left InnerProductSpace.OfCore.inner_neg_left
+#align inner_product_space.core.inner_neg_left InnerProductSpace.Core.inner_neg_left
 
 theorem inner_neg_right (x y : F) : ⟪x, -y⟫ = -⟪x, y⟫ := by
   rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
-#align inner_product_space.of_core.inner_neg_right InnerProductSpace.OfCore.inner_neg_right
+#align inner_product_space.core.inner_neg_right InnerProductSpace.Core.inner_neg_right
 
 theorem inner_sub_left (x y z : F) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left, inner_neg_left]
-#align inner_product_space.of_core.inner_sub_left InnerProductSpace.OfCore.inner_sub_left
+#align inner_product_space.core.inner_sub_left InnerProductSpace.Core.inner_sub_left
 
 theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right, inner_neg_right]
-#align inner_product_space.of_core.inner_sub_right InnerProductSpace.OfCore.inner_sub_right
+#align inner_product_space.core.inner_sub_right InnerProductSpace.Core.inner_sub_right
 
 theorem inner_mul_conj_re_abs (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
   by
   rw [← inner_conj_symm, mul_comm]
   exact re_eq_abs_of_mul_conj (inner y x)
-#align inner_product_space.of_core.inner_mul_conj_re_abs InnerProductSpace.OfCore.inner_mul_conj_re_abs
+#align inner_product_space.core.inner_mul_conj_re_abs InnerProductSpace.Core.inner_mul_conj_re_abs
 
 /-- Expand `inner (x + y) (x + y)` -/
 theorem inner_add_add_self (x y : F) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
-#align inner_product_space.of_core.inner_add_add_self InnerProductSpace.OfCore.inner_add_add_self
+#align inner_product_space.core.inner_add_add_self InnerProductSpace.Core.inner_add_add_self
 
 -- Expand `inner (x - y) (x - y)`
 theorem inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
-#align inner_product_space.of_core.inner_sub_sub_self InnerProductSpace.OfCore.inner_sub_sub_self
+#align inner_product_space.core.inner_sub_sub_self InnerProductSpace.Core.inner_sub_sub_self
+
+/-- An auxiliary equality useful to prove the **Cauchy–Schwarz inequality**: the square of the norm
+of `⟪x, y⟫ • x - ⟪x, x⟫ • y` is equal to `‖x‖ ^ 2 * (‖x‖ ^ 2 * ‖y‖ ^ 2 - ‖⟪x, y⟫‖ ^ 2)`. We use
+`inner_product_space.of_core.norm_sq x` etc (defeq to `is_R_or_C.re ⟪x, x⟫`) instead of `‖x‖ ^ 2`
+etc to avoid extra rewrites when applying it to an `inner_product_space`. -/
+theorem cauchy_schwarz_aux (x y : F) :
+    norm_sqF (⟪x, y⟫ • x - ⟪x, x⟫ • y) = norm_sqF x * (norm_sqF x * norm_sqF y - ‖⟪x, y⟫‖ ^ 2) :=
+  by
+  rw [← @of_real_inj 𝕜, coe_norm_sq_eq_inner_self]
+  simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, conj_of_real, mul_sub, ←
+    coe_norm_sq_eq_inner_self x, ← coe_norm_sq_eq_inner_self y]
+  rw [← mul_assoc, mul_conj, IsROrC.conj_mul_eq_normSq_left, norm_sq_eq_def', mul_left_comm, ←
+    inner_conj_symm y, mul_conj, norm_sq_eq_def']
+  push_cast
+  ring
+#align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
 
-/-- **Cauchy–Schwarz inequality**. This proof follows "Proof 2" on Wikipedia.
+/-- **Cauchy–Schwarz inequality**.
 We need this for the `core` structure to prove the triangle inequality below when
 showing the core is a normed group.
 -/
-theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
-  by
-  by_cases hy : y = 0
-  · rw [hy]
-    simp only [IsROrC.abs_zero, inner_zero_left, MulZeroClass.mul_zero, AddMonoidHom.map_zero]
-  · change y ≠ 0 at hy
-    have hy' : ⟪y, y⟫ ≠ 0 := inner_self_ne_zero.mpr hy
-    set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
-    have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm _ _
-    have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm _ _
-    have h₃ : ⟪y, x⟫ * ⟪x, y⟫ * ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = ⟪y, x⟫ * ⟪x, y⟫ / ⟪y, y⟫ :=
-      by
-      rw [mul_div_assoc]
-      have : ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = 1 / ⟪y, y⟫ := by
-        rw [div_mul_eq_div_mul_one_div, div_self hy', one_mul]
-      rw [this, div_eq_mul_inv, one_mul, ← div_eq_mul_inv]
-    have h₄ : ⟪y, y⟫ = re ⟪y, y⟫ := by simp only [inner_self_re_to_K]
-    have h₅ : re ⟪y, y⟫ > 0 :=
-      by
-      refine' lt_of_le_of_ne inner_self_nonneg _
-      intro H
-      apply hy'
-      rw [ext_iff]
-      exact ⟨by simp only [H, zero_re'], by simp only [inner_self_im, AddMonoidHom.map_zero]⟩
-    have h₆ : re ⟪y, y⟫ ≠ 0 := ne_of_gt h₅
-    have hmain :=
-      calc
-        0 ≤ re ⟪x - T • y, x - T • y⟫ := inner_self_nonneg
-        _ = re ⟪x, x⟫ - re ⟪T • y, x⟫ - re ⟪x, T • y⟫ + re ⟪T • y, T • y⟫ := by
-          simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, h₁, h₂, neg_mul,
-            AddMonoidHom.map_add, mul_re, conj_im, AddMonoidHom.map_sub, mul_neg, conj_re, neg_neg]
-        _ = re ⟪x, x⟫ - re (T† * ⟪y, x⟫) - re (T * ⟪x, y⟫) + re (T * T† * ⟪y, y⟫) := by
-          simp only [inner_smul_left, inner_smul_right, mul_assoc]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ / ⟪y, y⟫ * ⟪y, x⟫) := by
-          field_simp [-mul_re, inner_conj_symm, hT, map_div₀, h₁, h₃]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / ⟪y, y⟫) := by rw [← mul_div_right_comm]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / re ⟪y, y⟫) := by conv_lhs => rw [h₄]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫) / re ⟪y, y⟫ := by rw [div_re_of_real]
-        _ = re ⟪x, x⟫ - abs (⟪x, y⟫ * ⟪y, x⟫) / re ⟪y, y⟫ := by rw [inner_mul_conj_re_abs]
-        _ = re ⟪x, x⟫ - abs ⟪x, y⟫ * abs ⟪y, x⟫ / re ⟪y, y⟫ := by rw [IsROrC.abs_mul]
-        
-    have hmain' : abs ⟪x, y⟫ * abs ⟪y, x⟫ / re ⟪y, y⟫ ≤ re ⟪x, x⟫ := by linarith
-    have := (mul_le_mul_right h₅).mpr hmain'
-    rwa [div_mul_cancel (abs ⟪x, y⟫ * abs ⟪y, x⟫) h₆] at this
-#align inner_product_space.of_core.inner_mul_inner_self_le InnerProductSpace.OfCore.inner_mul_inner_self_le
+theorem inner_mul_inner_self_le (x y : F) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
+  by
+  rcases eq_or_ne x 0 with (rfl | hx)
+  · simp only [inner_zero_left, map_zero, MulZeroClass.zero_mul, norm_zero]
+  · have hx' : 0 < norm_sqF x := inner_self_nonneg.lt_of_ne' (mt norm_sq_eq_zero.1 hx)
+    rw [← sub_nonneg, ← mul_nonneg_iff_right_nonneg_of_pos hx', ← norm_sq, ← norm_sq,
+      norm_inner_symm y, ← sq, ← cauchy_schwarz_aux]
+    exact inner_self_nonneg
+#align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_le
 
 /-- Norm constructed from a `inner_product_space.core` structure, defined to be the square root
 of the scalar product. -/
 def toHasNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
-#align inner_product_space.of_core.to_has_norm InnerProductSpace.OfCore.toHasNorm
+#align inner_product_space.core.to_has_norm InnerProductSpace.Core.toHasNorm
 
 attribute [local instance] to_has_norm
 
 theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
   rfl
-#align inner_product_space.of_core.norm_eq_sqrt_inner InnerProductSpace.OfCore.norm_eq_sqrt_inner
+#align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_inner
 
 theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
-#align inner_product_space.of_core.inner_self_eq_norm_mul_norm InnerProductSpace.OfCore.inner_self_eq_norm_mul_norm
+#align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_norm
 
 theorem sqrt_normSq_eq_norm (x : F) : sqrt (norm_sqF x) = ‖x‖ :=
   rfl
-#align inner_product_space.of_core.sqrt_norm_sq_eq_norm InnerProductSpace.OfCore.sqrt_normSq_eq_norm
+#align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
-theorem abs_inner_le_norm (x y : F) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
-  nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (sqrt_nonneg _) (sqrt_nonneg _))
-    (by
-      have H : ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) = re ⟪y, y⟫ * re ⟪x, x⟫ :=
-        by
-        simp only [inner_self_eq_norm_mul_norm]
-        ring
-      rw [H]
-      conv =>
-        lhs
-        congr
-        rw [abs_inner_symm]
-      exact inner_mul_inner_self_le y x)
-#align inner_product_space.of_core.abs_inner_le_norm InnerProductSpace.OfCore.abs_inner_le_norm
+theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
+  nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) <|
+    calc
+      ‖⟪x, y⟫‖ * ‖⟪x, y⟫‖ = ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ := by rw [norm_inner_symm]
+      _ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := (inner_mul_inner_self_le x y)
+      _ = ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) := by simp only [inner_self_eq_norm_mul_norm] <;> ring
+      
+#align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_norm
 
 /-- Normed group structure constructed from an `inner_product_space.core` structure -/
 def toNormedAddCommGroup : NormedAddCommGroup F :=
@@ -389,9 +384,9 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
       neg' := fun x => by simp only [inner_neg_left, neg_neg, inner_neg_right]
       add_le' := fun x y =>
         by
-        have h₁ : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ := abs_inner_le_norm _ _
-        have h₂ : re ⟪x, y⟫ ≤ abs ⟪x, y⟫ := re_le_abs _
-        have h₃ : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ := by linarith
+        have h₁ : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ := norm_inner_le_norm _ _
+        have h₂ : re ⟪x, y⟫ ≤ ‖⟪x, y⟫‖ := (re_le_abs _).trans_eq (IsROrC.norm_eq_abs _).symm
+        have h₃ : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ := h₂.trans h₁
         have h₄ : re ⟪y, x⟫ ≤ ‖x‖ * ‖y‖ := by rwa [← inner_conj_symm, conj_re]
         have : ‖x + y‖ * ‖x + y‖ ≤ (‖x‖ + ‖y‖) * (‖x‖ + ‖y‖) :=
           by
@@ -400,7 +395,7 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
         exact nonneg_le_nonneg_of_sq_le_sq (add_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) this
       eq_zero_of_map_eq_zero' := fun x hx =>
         normSq_eq_zero.1 <| (sqrt_eq_zero inner_self_nonneg).1 hx }
-#align inner_product_space.of_core.to_normed_add_comm_group InnerProductSpace.OfCore.toNormedAddCommGroup
+#align inner_product_space.core.to_normed_add_comm_group InnerProductSpace.Core.toNormedAddCommGroup
 
 attribute [local instance] to_normed_add_comm_group
 
@@ -409,29 +404,29 @@ def toNormedSpace : NormedSpace 𝕜 F
     where norm_smul_le r x :=
     by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
-    rw [conj_mul_eq_norm_sq_left, of_real_mul_re, sqrt_mul, ← inner_norm_sq_eq_inner_self,
+    rw [IsROrC.conj_mul_eq_normSq_left, of_real_mul_re, sqrt_mul, ← coe_norm_sq_eq_inner_self,
       of_real_re]
     · simp [sqrt_norm_sq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
     · exact norm_sq_nonneg r
-#align inner_product_space.of_core.to_normed_space InnerProductSpace.OfCore.toNormedSpace
+#align inner_product_space.core.to_normed_space InnerProductSpace.Core.toNormedSpace
 
-end InnerProductSpace.ofCore
+end InnerProductSpace.Core
 
 section
 
-attribute [local instance] InnerProductSpace.OfCore.toNormedAddCommGroup
+attribute [local instance] InnerProductSpace.Core.toNormedAddCommGroup
 
 /-- Given a `inner_product_space.core` structure on a space, one can use it to turn
 the space into an inner product space. The `normed_add_comm_group` structure is expected
 to already be defined with `inner_product_space.of_core.to_normed_add_comm_group`. -/
 def InnerProductSpace.ofCore [AddCommGroup F] [Module 𝕜 F] (c : InnerProductSpace.Core 𝕜 F) :
     InnerProductSpace 𝕜 F :=
-  letI : NormedSpace 𝕜 F := @InnerProductSpace.OfCore.toNormedSpace 𝕜 F _ _ _ c
+  letI : NormedSpace 𝕜 F := @InnerProductSpace.Core.toNormedSpace 𝕜 F _ _ _ c
   { c with
     norm_sq_eq_inner := fun x =>
       by
       have h₁ : ‖x‖ ^ 2 = sqrt (re (c.inner x x)) ^ 2 := rfl
-      have h₂ : 0 ≤ re (c.inner x x) := InnerProductSpace.OfCore.inner_self_nonneg
+      have h₂ : 0 ≤ re (c.inner x x) := InnerProductSpace.Core.inner_self_nonneg
       simp [h₁, sq_sqrt, h₂] }
 #align inner_product_space.of_core InnerProductSpace.ofCore
 
@@ -475,7 +470,9 @@ theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
 #align real_inner_comm real_inner_comm
 
 theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
-  ⟨fun h => by simp [← inner_conj_symm, h], fun h => by simp [← inner_conj_symm, h]⟩
+  by
+  rw [← inner_conj_symm]
+  exact star_eq_zero
 #align inner_eq_zero_symm inner_eq_zero_symm
 
 @[simp]
@@ -605,8 +602,8 @@ theorem inner_re_zero_right (x : E) : re ⟪x, 0⟫ = 0 := by
   simp only [inner_zero_right, AddMonoidHom.map_zero]
 #align inner_re_zero_right inner_re_zero_right
 
-theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ := by
-  rw [← norm_sq_eq_inner] <;> exact pow_nonneg (norm_nonneg x) 2
+theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ :=
+  InnerProductSpace.toCore.nonneg_re x
 #align inner_self_nonneg inner_self_nonneg
 
 theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
@@ -743,62 +740,18 @@ theorem parallelogram_law {x y : E} : ⟪x + y, x + y⟫ + ⟪x - y, x - y⟫ =
   simp [inner_add_add_self, inner_sub_sub_self, two_mul, sub_eq_add_neg, add_comm, add_left_comm]
 #align parallelogram_law parallelogram_law
 
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:69:18: unsupported non-interactive tactic tactic.field_simp.ne_zero -/
-/-- Cauchy–Schwarz inequality. This proof follows "Proof 2" on Wikipedia. -/
-theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
-  by
-  by_cases hy : y = 0
-  · rw [hy]
-    simp only [IsROrC.abs_zero, inner_zero_left, MulZeroClass.mul_zero, AddMonoidHom.map_zero]
-  · have hy' : ⟪y, y⟫ ≠ 0 := inner_self_eq_zero.not.2 hy
-    set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
-    have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm _ _
-    have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm _ _
-    have h₃ : ⟪y, x⟫ * ⟪x, y⟫ * ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = ⟪y, x⟫ * ⟪x, y⟫ / ⟪y, y⟫ :=
-      by
-      rw [mul_div_assoc]
-      have : ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = 1 / ⟪y, y⟫ := by
-        rw [div_mul_eq_div_mul_one_div, div_self hy', one_mul]
-      rw [this, div_eq_mul_inv, one_mul, ← div_eq_mul_inv]
-    have h₄ : ⟪y, y⟫ = re ⟪y, y⟫ := (inner_self_re_to_K _).symm
-    have h₅ : re ⟪y, y⟫ > 0 :=
-      by
-      refine' lt_of_le_of_ne inner_self_nonneg _
-      intro H
-      apply hy'
-      rw [IsROrC.ext_iff]
-      exact ⟨by simp only [H, zero_re'], by simp only [inner_self_im, AddMonoidHom.map_zero]⟩
-    have h₆ : re ⟪y, y⟫ ≠ 0 := ne_of_gt h₅
-    have hmain :=
-      calc
-        0 ≤ re ⟪x - T • y, x - T • y⟫ := inner_self_nonneg
-        _ = re ⟪x, x⟫ - re ⟪T • y, x⟫ - re ⟪x, T • y⟫ + re ⟪T • y, T • y⟫ := by
-          simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, h₁, h₂, neg_mul,
-            AddMonoidHom.map_add, conj_im, AddMonoidHom.map_sub, mul_neg, conj_re, neg_neg, mul_re]
-        _ = re ⟪x, x⟫ - re (T† * ⟪y, x⟫) - re (T * ⟪x, y⟫) + re (T * T† * ⟪y, y⟫) := by
-          simp only [inner_smul_left, inner_smul_right, mul_assoc]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ / ⟪y, y⟫ * ⟪y, x⟫) := by
-          simp (disch :=
-            run_tac
-              tactic.field_simp.ne_zero) only [map_div₀,
-            h₃, inner_conj_symm, sub_add_cancel, field_simps]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / ⟪y, y⟫) := by rw [← mul_div_right_comm]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / re ⟪y, y⟫) := by conv_lhs => rw [h₄]
-        _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫) / re ⟪y, y⟫ := by rw [div_re_of_real]
-        _ = re ⟪x, x⟫ - abs (⟪x, y⟫ * ⟪y, x⟫) / re ⟪y, y⟫ := by rw [inner_mul_conj_re_abs]
-        _ = re ⟪x, x⟫ - abs ⟪x, y⟫ * abs ⟪y, x⟫ / re ⟪y, y⟫ := by rw [IsROrC.abs_mul]
-        
-    have hmain' : abs ⟪x, y⟫ * abs ⟪y, x⟫ / re ⟪y, y⟫ ≤ re ⟪x, x⟫ := by linarith
-    have := (mul_le_mul_right h₅).mpr hmain'
-    rwa [div_mul_cancel (abs ⟪x, y⟫ * abs ⟪y, x⟫) h₆] at this
+/-- **Cauchy–Schwarz inequality**. -/
+theorem inner_mul_inner_self_le (x y : E) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
+  letI c : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
+  InnerProductSpace.Core.inner_mul_inner_self_le x y
 #align inner_mul_inner_self_le inner_mul_inner_self_le
 
 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   calc
-    ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ IsROrC.abs ⟪x, y⟫_ℝ * IsROrC.abs ⟪y, x⟫_ℝ :=
+    ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ‖⟪x, y⟫_ℝ‖ * ‖⟪y, x⟫_ℝ‖ :=
       by
-      rw [real_inner_comm y, ← IsROrC.abs_mul, ← IsROrC.norm_eq_abs]
+      rw [real_inner_comm y, ← norm_mul]
       exact le_abs_self _
     _ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ := @inner_mul_inner_self_le ℝ _ _ _ _ x y
     
@@ -1101,9 +1054,7 @@ theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
 #align norm_eq_sqrt_inner norm_eq_sqrt_inner
 
 theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
-  by
-  have h := @norm_eq_sqrt_inner ℝ F _ _ _ x
-  simpa using h
+  @norm_eq_sqrt_inner ℝ _ _ _ _ x
 #align norm_eq_sqrt_real_inner norm_eq_sqrt_real_inner
 
 theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
@@ -1197,23 +1148,17 @@ theorem norm_sub_mul_self_real (x y : F) :
 #align norm_sub_mul_self_real norm_sub_mul_self_real
 
 /-- Cauchy–Schwarz inequality with norm -/
-theorem abs_inner_le_norm (x y : E) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
-  nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (norm_nonneg _) (norm_nonneg _))
-    (by
-      have : ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) = re ⟪x, x⟫ * re ⟪y, y⟫
-      simp only [inner_self_eq_norm_mul_norm]; ring
-      rw [this]
-      conv_lhs =>
-        congr
-        skip
-        rw [abs_inner_symm]
-      exact inner_mul_inner_self_le _ _)
-#align abs_inner_le_norm abs_inner_le_norm
-
 theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
-  (IsROrC.norm_eq_abs _).le.trans (abs_inner_le_norm x y)
+  by
+  rw [norm_eq_sqrt_inner x, norm_eq_sqrt_inner y]
+  letI : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
+  exact InnerProductSpace.Core.norm_inner_le_norm x y
 #align norm_inner_le_norm norm_inner_le_norm
 
+theorem abs_inner_le_norm (x y : E) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
+  (norm_eq_abs ⟪x, y⟫).symm.trans_le (norm_inner_le_norm _ _)
+#align abs_inner_le_norm abs_inner_le_norm
+
 theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ * ‖y‖₊ :=
   norm_inner_le_norm x y
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
@@ -1223,10 +1168,8 @@ theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
 #align re_inner_le_norm re_inner_le_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
-theorem abs_real_inner_le_norm (x y : F) : absR ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
-  by
-  have h := @abs_inner_le_norm ℝ F _ _ _ x y
-  simpa using h
+theorem abs_real_inner_le_norm (x y : F) : |⟪x, y⟫_ℝ| ≤ ‖x‖ * ‖y‖ :=
+  (Real.norm_eq_abs _).ge.trans (norm_inner_le_norm x y)
 #align abs_real_inner_le_norm abs_real_inner_le_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
@@ -1720,92 +1663,111 @@ itself, divided by the product of their norms, has value -1. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r : ℝ} (hx : x ≠ 0)
     (hr : r < 0) : ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = -1 :=
   by
-  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (absR r),
+  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (|r|),
     mul_assoc, abs_of_neg hr, neg_mul, div_neg_eq_neg_div, div_self]
-  exact mul_ne_zero (ne_of_lt hr) fun h => hx (norm_eq_zero.1 (eq_zero_of_mul_self_eq_zero h))
+  exact mul_ne_zero hr.ne (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul
 
+theorem norm_inner_eq_norm_tFAE (x y : E) :
+    TFAE
+      [‖⟪x, y⟫‖ = ‖x‖ * ‖y‖, x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫) • x, x = 0 ∨ ∃ r : 𝕜, y = r • x,
+        x = 0 ∨ y ∈ 𝕜 ∙ x] :=
+  by
+  tfae_have 1 → 2
+  · refine' fun h => or_iff_not_imp_left.2 fun hx₀ => _
+    have : ‖x‖ ^ 2 ≠ 0 := pow_ne_zero _ (norm_ne_zero_iff.2 hx₀)
+    rw [← sq_eq_sq (norm_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _)), mul_pow, ←
+      mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h
+    simp only [@norm_sq_eq_inner 𝕜] at h
+    letI : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
+    erw [← InnerProductSpace.Core.cauchy_schwarz_aux, InnerProductSpace.Core.normSq_eq_zero,
+      sub_eq_zero] at h
+    rw [div_eq_inv_mul, mul_smul, h, inv_smul_smul₀]
+    rwa [inner_self_ne_zero]
+  tfae_have 2 → 3; exact fun h => h.imp_right fun h' => ⟨_, h'⟩
+  tfae_have 3 → 1
+  ·
+    rintro (rfl | ⟨r, rfl⟩) <;>
+      simp [inner_smul_right, norm_smul, inner_self_eq_norm_sq_to_K, inner_self_eq_norm_mul_norm,
+        sq, mul_left_comm]
+  tfae_have 3 ↔ 4; · simp only [Submodule.mem_span_singleton, eq_comm]
+  tfae_finish
+#align norm_inner_eq_norm_tfae norm_inner_eq_norm_tFAE
+
+/-- If the inner product of two vectors is equal to the product of their norms, then the two vectors
+are multiples of each other. One form of the equality case for Cauchy-Schwarz.
+Compare `inner_eq_norm_mul_iff`, which takes the stronger hypothesis `⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
+theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
+    ‖⟪x, y⟫‖ = ‖x‖ * ‖y‖ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
+  calc
+    ‖⟪x, y⟫‖ = ‖x‖ * ‖y‖ ↔ x = 0 ∨ ∃ r : 𝕜, y = r • x :=
+      (@norm_inner_eq_norm_tFAE 𝕜 _ _ _ _ x y).out 0 2
+    _ ↔ ∃ r : 𝕜, y = r • x := (or_iff_right hx₀)
+    _ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
+      ⟨fun ⟨r, h⟩ => ⟨r, fun hr₀ => hy₀ <| h.symm ▸ smul_eq_zero.2 <| Or.inl hr₀, h⟩,
+        fun ⟨r, hr₀, h⟩ => ⟨r, h⟩⟩
+    
+#align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
+
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
-theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
-    abs (⟪x, y⟫ / (‖x‖ * ‖y‖)) = 1 ↔ x ≠ 0 ∧ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
+theorem norm_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
+    ‖⟪x, y⟫ / (‖x‖ * ‖y‖)‖ = 1 ↔ x ≠ 0 ∧ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
   by
   constructor
   · intro h
-    have hx0 : x ≠ 0 := by
-      intro hx0
-      rw [hx0, inner_zero_left, zero_div] at h
-      norm_num at h
-    refine' And.intro hx0 _
-    set r := ⟪x, y⟫ / (‖x‖ * ‖x‖) with hr
-    use r
-    set t := y - r • x with ht
-    have ht0 : ⟪x, t⟫ = 0 :=
-      by
-      rw [ht, inner_sub_right, inner_smul_right, hr]
-      norm_cast
-      rw [← @inner_self_eq_norm_mul_norm 𝕜, inner_self_re_to_K,
-        div_mul_cancel _ fun h => hx0 ((@inner_self_eq_zero 𝕜 _ _ _ _ _).1 h), sub_self]
-    replace h : ‖r • x‖ / ‖t + r • x‖ = 1
-    · rw [← sub_add_cancel y (r • x), ← ht, inner_add_right, ht0, zero_add, inner_smul_right,
-        IsROrC.abs_div, IsROrC.abs_mul, ← inner_self_re_abs, inner_self_eq_norm_mul_norm] at h
-      norm_cast  at h
-      rwa [_root_.abs_mul, abs_norm, abs_norm, ← mul_assoc, mul_comm,
-        mul_div_mul_left _ _ fun h => hx0 (norm_eq_zero.1 h), ← IsROrC.norm_eq_abs, ← norm_smul] at
-        h
-    have hr0 : r ≠ 0 := by
-      intro hr0
-      rw [hr0, zero_smul, norm_zero, zero_div] at h
-      norm_num at h
-    refine' And.intro hr0 _
-    have h2 : ‖r • x‖ ^ 2 = ‖t + r • x‖ ^ 2 := by rw [eq_of_div_eq_one h]
-    replace h2 : ⟪r • x, r • x⟫ = ⟪t, t⟫ + ⟪t, r • x⟫ + ⟪r • x, t⟫ + ⟪r • x, r • x⟫
-    · rw [sq, sq, ← @inner_self_eq_norm_mul_norm 𝕜, ← @inner_self_eq_norm_mul_norm 𝕜] at h2
-      have h2' := congr_arg (fun z : ℝ => (z : 𝕜)) h2
-      simp_rw [inner_self_re_to_K, inner_add_add_self] at h2'
-      exact h2'
-    conv at h2 in ⟪r • x, t⟫ => rw [inner_smul_left, ht0, MulZeroClass.mul_zero]
-    symm at h2
-    have h₁ : ⟪t, r • x⟫ = 0 :=
-      by
-      rw [inner_smul_right, ← inner_conj_symm, ht0]
-      simp
-    rw [add_zero, h₁, add_left_eq_self, add_zero, inner_self_eq_zero] at h2
-    rw [h2] at ht
-    exact eq_of_sub_eq_zero ht.symm
-  · intro h
-    rcases h with ⟨hx, ⟨r, ⟨hr, hy⟩⟩⟩
-    rw [hy, IsROrC.abs_div]
-    norm_cast
-    rw [_root_.abs_mul, abs_norm, abs_norm]
+    have hx₀ : x ≠ 0 := fun h₀ => by simpa [h₀] using h
+    have hy₀ : y ≠ 0 := fun h₀ => by simpa [h₀] using h
+    refine' ⟨hx₀, (norm_inner_eq_norm_iff hx₀ hy₀).1 <| eq_of_div_eq_one _⟩
+    simpa using h
+  · rintro ⟨hx, ⟨r, ⟨hr, rfl⟩⟩⟩
+    simp only [IsROrC.abs_div, IsROrC.abs_mul, IsROrC.abs_of_real, IsROrC.norm_eq_abs, abs_norm]
     exact abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
-#align abs_inner_div_norm_mul_norm_eq_one_iff abs_inner_div_norm_mul_norm_eq_one_iff
+#align norm_inner_div_norm_mul_norm_eq_one_iff norm_inner_div_norm_mul_norm_eq_one_iff
 
 /-- The inner product of two vectors, divided by the product of their
 norms, has absolute value 1 if and only if they are nonzero and one is
 a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
 theorem abs_real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
-    absR (⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)) = 1 ↔ x ≠ 0 ∧ ∃ r : ℝ, r ≠ 0 ∧ y = r • x :=
-  by
-  have := @abs_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ _ x y
-  simpa [coe_real_eq_id] using this
+    |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| = 1 ↔ x ≠ 0 ∧ ∃ r : ℝ, r ≠ 0 ∧ y = r • x :=
+  @norm_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ _ x y
 #align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iff
 
-/-- If the inner product of two vectors is equal to the product of their norms, then the two vectors
-are multiples of each other. One form of the equality case for Cauchy-Schwarz.
-Compare `inner_eq_norm_mul_iff`, which takes the stronger hypothesis `⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
-theorem abs_inner_eq_norm_iff (x y : E) (hx0 : x ≠ 0) (hy0 : y ≠ 0) :
-    abs ⟪x, y⟫ = ‖x‖ * ‖y‖ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
+theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
+    ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y :=
   by
-  have hxy0 : ‖x‖ * ‖y‖ ≠ 0 := mul_ne_zero (norm_eq_zero.not.2 hx0) (norm_eq_zero.not.2 hy0)
-  have h₁ : abs ⟪x, y⟫ = ‖x‖ * ‖y‖ ↔ abs (⟪x, y⟫ / (‖x‖ * ‖y‖)) = 1 :=
-    by
-    rw [← algebraMap.coe_mul, IsROrC.abs_div, IsROrC.abs_of_nonneg, div_eq_one_iff_eq hxy0]
-    positivity
-  rw [h₁, abs_inner_div_norm_mul_norm_eq_one_iff x y]
-  exact and_iff_right hx0
-#align abs_inner_eq_norm_iff abs_inner_eq_norm_iff
+  have h₀' := h₀
+  rw [← norm_ne_zero_iff, Ne.def, ← @of_real_eq_zero 𝕜] at h₀'
+  constructor <;> intro h
+  · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
+      ((@norm_inner_eq_norm_tFAE 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
+    rw [this.resolve_left h₀, h]
+    simp [norm_smul, IsROrC.norm_eq_abs, inner_self_abs_to_K, h₀']
+  · conv_lhs => rw [← h, inner_smul_right, inner_self_eq_norm_sq_to_K]
+    field_simp [sq, mul_left_comm]
+#align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
+
+/-- If the inner product of two vectors is equal to the product of their norms (i.e.,
+`⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
+of the equality case for Cauchy-Schwarz.
+Compare `norm_inner_eq_norm_iff`, which takes the weaker hypothesis `abs ⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
+theorem inner_eq_norm_mul_iff {x y : E} :
+    ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ : 𝕜) • x = (‖x‖ : 𝕜) • y :=
+  by
+  rcases eq_or_ne x 0 with (rfl | h₀)
+  · simp
+  · rw [inner_eq_norm_mul_iff_div h₀, div_eq_inv_mul, mul_smul, inv_smul_eq_iff₀]
+    rwa [Ne.def, of_real_eq_zero, norm_eq_zero]
+#align inner_eq_norm_mul_iff inner_eq_norm_mul_iff
+
+/-- If the inner product of two vectors is equal to the product of their norms (i.e.,
+`⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
+of the equality case for Cauchy-Schwarz.
+Compare `norm_inner_eq_norm_iff`, which takes the weaker hypothesis `abs ⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
+theorem inner_eq_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ = ‖x‖ * ‖y‖ ↔ ‖y‖ • x = ‖x‖ • y :=
+  inner_eq_norm_mul_iff
+#align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_real
 
 /-- The inner product of two vectors, divided by the product of their
 norms, has value 1 if and only if they are nonzero and one is
@@ -1815,21 +1777,11 @@ theorem real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
   by
   constructor
   · intro h
-    have ha := h
-    apply_fun absR  at ha
-    norm_num at ha
-    rcases(abs_real_inner_div_norm_mul_norm_eq_one_iff x y).1 ha with ⟨hx, ⟨r, ⟨hr, hy⟩⟩⟩
-    use hx, r
-    refine' And.intro _ hy
-    by_contra hrneg
-    rw [hy] at h
-    rw [real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul hx
-        (lt_of_le_of_ne (le_of_not_lt hrneg) hr)] at
-      h
-    norm_num at h
-  · intro h
-    rcases h with ⟨hx, ⟨r, ⟨hr, hy⟩⟩⟩
-    rw [hy]
+    have hx₀ : x ≠ 0 := fun h₀ => by simpa [h₀] using h
+    have hy₀ : y ≠ 0 := fun h₀ => by simpa [h₀] using h
+    refine' ⟨hx₀, ‖y‖ / ‖x‖, div_pos (norm_pos_iff.2 hy₀) (norm_pos_iff.2 hx₀), _⟩
+    exact ((inner_eq_norm_mul_iff_div hx₀).1 (eq_of_div_eq_one h)).symm
+  · rintro ⟨hx, ⟨r, ⟨hr, rfl⟩⟩⟩
     exact real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul hx hr
 #align real_inner_div_norm_mul_norm_eq_one_iff real_inner_div_norm_mul_norm_eq_one_iff
 
@@ -1845,52 +1797,11 @@ theorem real_inner_div_norm_mul_norm_eq_neg_one_iff (x y : F) :
   rw [neg_pos, neg_smul, neg_inj]
 #align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iff
 
-/-- If the inner product of two vectors is equal to the product of their norms (i.e.,
-`⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
-of the equality case for Cauchy-Schwarz.
-Compare `abs_inner_eq_norm_iff`, which takes the weaker hypothesis `abs ⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
-theorem inner_eq_norm_mul_iff {x y : E} :
-    ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ : 𝕜) • x = (‖x‖ : 𝕜) • y :=
-  by
-  by_cases h : x = 0 ∨ y = 0
-  -- WLOG `x` and `y` are nonzero
-  · cases h <;> simp [h]
-  calc
-    ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ ‖x‖ * ‖y‖ = re ⟪x, y⟫ :=
-      by
-      norm_cast
-      constructor
-      · intro h'
-        simp [h']
-      · have cauchy_schwarz := abs_inner_le_norm x y
-        intro h'
-        rw [h'] at cauchy_schwarz⊢
-        rwa [re_eq_self_of_le]
-    _ ↔ 2 * ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖ - re ⟪x, y⟫) = 0 := by
-      simp [h, show (2 : ℝ) ≠ 0 by norm_num, sub_eq_zero]
-    _ ↔ ‖(‖y‖ : 𝕜) • x - (‖x‖ : 𝕜) • y‖ * ‖(‖y‖ : 𝕜) • x - (‖x‖ : 𝕜) • y‖ = 0 :=
-      by
-      simp only [@norm_sub_mul_self 𝕜, inner_smul_left, inner_smul_right, norm_smul, conj_of_real,
-        IsROrC.norm_eq_abs, abs_of_real, of_real_im, of_real_re, mul_re, abs_norm]
-      refine' Eq.congr _ rfl
-      ring
-    _ ↔ (‖y‖ : 𝕜) • x = (‖x‖ : 𝕜) • y := by simp [norm_sub_eq_zero_iff]
-    
-#align inner_eq_norm_mul_iff inner_eq_norm_mul_iff
-
-/-- If the inner product of two vectors is equal to the product of their norms (i.e.,
-`⟪x, y⟫ = ‖x‖ * ‖y‖`), then the two vectors are nonnegative real multiples of each other. One form
-of the equality case for Cauchy-Schwarz.
-Compare `abs_inner_eq_norm_iff`, which takes the weaker hypothesis `abs ⟪x, y⟫ = ‖x‖ * ‖y‖`. -/
-theorem inner_eq_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ = ‖x‖ * ‖y‖ ↔ ‖y‖ • x = ‖x‖ • y :=
-  inner_eq_norm_mul_iff
-#align inner_eq_norm_mul_iff_real inner_eq_norm_mul_iff_real
-
 /-- If the inner product of two unit vectors is `1`, then the two vectors are equal. One form of
 the equality case for Cauchy-Schwarz. -/
-theorem inner_eq_norm_mul_iff_of_norm_one {x y : E} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) :
-    ⟪x, y⟫ = 1 ↔ x = y := by convert inner_eq_norm_mul_iff using 2 <;> simp [hx, hy]
-#align inner_eq_norm_mul_iff_of_norm_one inner_eq_norm_mul_iff_of_norm_one
+theorem inner_eq_one_iff_of_norm_one {x y : E} (hx : ‖x‖ = 1) (hy : ‖y‖ = 1) : ⟪x, y⟫ = 1 ↔ x = y :=
+  by convert inner_eq_norm_mul_iff using 2 <;> simp [hx, hy]
+#align inner_eq_one_iff_of_norm_one inner_eq_one_iff_of_norm_one
 
 theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ‖y‖ • x ≠ ‖x‖ • y :=
   calc

mathlib commit https://github.com/leanprover-community/mathlib/commit/92c69b77c5a7dc0f7eeddb552508633305157caa

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 1a4df69ca1a9a0e5e26bfe12e2b92814216016d0
+! leanprover-community/mathlib commit 92c69b77c5a7dc0f7eeddb552508633305157caa
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -197,13 +197,9 @@ theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
 #align inner_product_space.of_core.inner_self_nonneg InnerProductSpace.OfCore.inner_self_nonneg
 
-theorem inner_self_nonneg_im (x : F) : im ⟪x, x⟫ = 0 := by
+theorem inner_self_im (x : F) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
-#align inner_product_space.of_core.inner_self_nonneg_im InnerProductSpace.OfCore.inner_self_nonneg_im
-
-theorem inner_self_im_zero (x : F) : im ⟪x, x⟫ = 0 :=
-  inner_self_nonneg_im _
-#align inner_product_space.of_core.inner_self_im_zero InnerProductSpace.OfCore.inner_self_im_zero
+#align inner_product_space.of_core.inner_self_im InnerProductSpace.OfCore.inner_self_im
 
 theorem inner_add_left (x y z : F) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   c.add_left _ _ _
@@ -216,7 +212,7 @@ theorem inner_add_right (x y z : F) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ :
 theorem inner_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
   by
   rw [ext_iff]
-  exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_nonneg_im, of_real_im]⟩
+  exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_im, of_real_im]⟩
 #align inner_product_space.of_core.inner_norm_sq_eq_inner_self InnerProductSpace.OfCore.inner_normSq_eq_inner_self
 
 theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
@@ -244,23 +240,27 @@ theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
 #align inner_product_space.of_core.inner_zero_right InnerProductSpace.OfCore.inner_zero_right
 
 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
-  Iff.intro (c.definite _)
-    (by
-      rintro rfl
-      exact inner_zero_left _)
+  ⟨c.definite _, by
+    rintro rfl
+    exact inner_zero_left _⟩
 #align inner_product_space.of_core.inner_self_eq_zero InnerProductSpace.OfCore.inner_self_eq_zero
 
+theorem normSq_eq_zero {x : F} : norm_sqF x = 0 ↔ x = 0 :=
+  Iff.trans
+    (by simp only [norm_sq, ext_iff, map_zero, inner_self_im, eq_self_iff_true, and_true_iff])
+    (@inner_self_eq_zero 𝕜 _ _ _ _ _ x)
+#align inner_product_space.of_core.norm_sq_eq_zero InnerProductSpace.OfCore.normSq_eq_zero
+
 theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
   inner_self_eq_zero.Not
 #align inner_product_space.of_core.inner_self_ne_zero InnerProductSpace.OfCore.inner_self_ne_zero
 
 theorem inner_self_re_to_K (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
-  norm_num [ext_iff, inner_self_nonneg_im]
+  norm_num [ext_iff, inner_self_im]
 #align inner_product_space.of_core.inner_self_re_to_K InnerProductSpace.OfCore.inner_self_re_to_K
 
-theorem inner_abs_conj_symm (x y : F) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by
-  rw [← inner_conj_symm, abs_conj]
-#align inner_product_space.of_core.inner_abs_conj_symm InnerProductSpace.OfCore.inner_abs_conj_symm
+theorem abs_inner_symm (x y : F) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_symm, abs_conj]
+#align inner_product_space.of_core.abs_inner_symm InnerProductSpace.OfCore.abs_inner_symm
 
 theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   by
@@ -323,7 +323,7 @@ theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
       intro H
       apply hy'
       rw [ext_iff]
-      exact ⟨by simp only [H, zero_re'], by simp only [inner_self_nonneg_im, AddMonoidHom.map_zero]⟩
+      exact ⟨by simp only [H, zero_re'], by simp only [inner_self_im, AddMonoidHom.map_zero]⟩
     have h₆ : re ⟪y, y⟫ ≠ 0 := ne_of_gt h₅
     have hmain :=
       calc
@@ -377,7 +377,7 @@ theorem abs_inner_le_norm (x y : F) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
       conv =>
         lhs
         congr
-        rw [inner_abs_conj_symm]
+        rw [abs_inner_symm]
       exact inner_mul_inner_self_le y x)
 #align inner_product_space.of_core.abs_inner_le_norm InnerProductSpace.OfCore.abs_inner_le_norm
 
@@ -399,11 +399,7 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
           linarith
         exact nonneg_le_nonneg_of_sq_le_sq (add_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) this
       eq_zero_of_map_eq_zero' := fun x hx =>
-        (inner_self_eq_zero : ⟪x, x⟫ = 0 ↔ x = 0).1 <|
-          by
-          change sqrt (re ⟪x, x⟫) = 0 at hx
-          rw [sqrt_eq_zero inner_self_nonneg] at hx
-          exact ext (by simp [hx]) (by simp [inner_self_im_zero]) }
+        normSq_eq_zero.1 <| (sqrt_eq_zero inner_self_nonneg).1 hx }
 #align inner_product_space.of_core.to_normed_add_comm_group InnerProductSpace.OfCore.toNormedAddCommGroup
 
 attribute [local instance] to_normed_add_comm_group
@@ -483,13 +479,8 @@ theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
 #align inner_eq_zero_symm inner_eq_zero_symm
 
 @[simp]
-theorem inner_self_nonneg_im (x : E) : im ⟪x, x⟫ = 0 := by
-  rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
-#align inner_self_nonneg_im inner_self_nonneg_im
-
-theorem inner_self_im_zero (x : E) : im ⟪x, x⟫ = 0 :=
-  inner_self_nonneg_im _
-#align inner_self_im_zero inner_self_im_zero
+theorem inner_self_im (x : E) : im ⟪x, x⟫ = 0 := by rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
+#align inner_self_im inner_self_im
 
 theorem inner_add_left (x y z : E) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   InnerProductSpace.add_left _ _ _
@@ -622,52 +613,13 @@ theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
   @inner_self_nonneg ℝ F _ _ _ x
 #align real_inner_self_nonneg real_inner_self_nonneg
 
-@[simp]
-theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 :=
-  by
-  constructor
-  · intro h
-    have h₁ : re ⟪x, x⟫ = 0 := by rw [IsROrC.ext_iff] at h <;> simp only [h.1, zero_re']
-    rw [← norm_sq_eq_inner x] at h₁
-    rw [← norm_eq_zero]
-    exact pow_eq_zero h₁
-  · rintro rfl
-    exact inner_zero_left _
-#align inner_self_eq_zero inner_self_eq_zero
-
-theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
-  inner_self_eq_zero.Not
-#align inner_self_ne_zero inner_self_ne_zero
-
-@[simp]
-theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 :=
-  by
-  constructor
-  · intro h
-    rw [← @inner_self_eq_zero 𝕜]
-    have H₁ : re ⟪x, x⟫ ≥ 0 := inner_self_nonneg
-    have H₂ : re ⟪x, x⟫ = 0 := le_antisymm h H₁
-    rw [IsROrC.ext_iff]
-    exact ⟨by simp [H₂], by simp [inner_self_nonneg_im]⟩
-  · rintro rfl
-    simp only [inner_zero_left, AddMonoidHom.map_zero]
-#align inner_self_nonpos inner_self_nonpos
-
-theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
-  by
-  have h := @inner_self_nonpos ℝ F _ _ _ x
-  simpa using h
-#align real_inner_self_nonpos real_inner_self_nonpos
-
 @[simp]
 theorem inner_self_re_to_K (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
-  IsROrC.ext_iff.2 ⟨by simp only [of_real_re], by simp only [inner_self_nonneg_im, of_real_im]⟩
+  IsROrC.ext_iff.2 ⟨by simp only [of_real_re], by simp only [inner_self_im, of_real_im]⟩
 #align inner_self_re_to_K inner_self_re_to_K
 
-theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) :=
-  by
-  suffices (IsROrC.re ⟪x, x⟫ : 𝕜) = ‖x‖ ^ 2 by simpa only [inner_self_re_to_K] using this
-  exact_mod_cast (norm_sq_eq_inner x).symm
+theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) := by
+  rw [← inner_self_re_to_K, ← norm_sq_eq_inner, of_real_pow]
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
 
 theorem inner_self_re_abs (x : E) : re ⟪x, x⟫ = abs ⟪x, x⟫ :=
@@ -683,15 +635,32 @@ theorem inner_self_abs_to_K (x : E) : (absK ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
   exact inner_self_re_to_K _
 #align inner_self_abs_to_K inner_self_abs_to_K
 
+@[simp]
+theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 := by
+  rw [inner_self_eq_norm_sq_to_K, sq_eq_zero_iff, of_real_eq_zero, norm_eq_zero]
+#align inner_self_eq_zero inner_self_eq_zero
+
+theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
+  inner_self_eq_zero.Not
+#align inner_self_ne_zero inner_self_ne_zero
+
+@[simp]
+theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 := by
+  rw [← norm_sq_eq_inner, (sq_nonneg _).le_iff_eq, sq_eq_zero_iff, norm_eq_zero]
+#align inner_self_nonpos inner_self_nonpos
+
+theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
+  @inner_self_nonpos ℝ F _ _ _ x
+#align real_inner_self_nonpos real_inner_self_nonpos
+
 theorem real_inner_self_abs (x : F) : absR ⟪x, x⟫_ℝ = ⟪x, x⟫_ℝ :=
   by
   have h := @inner_self_abs_to_K ℝ F _ _ _ x
   simpa using h
 #align real_inner_self_abs real_inner_self_abs
 
-theorem inner_abs_conj_symm (x y : E) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by
-  rw [← inner_conj_symm, abs_conj]
-#align inner_abs_conj_symm inner_abs_conj_symm
+theorem abs_inner_symm (x y : E) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_symm, abs_conj]
+#align abs_inner_symm abs_inner_symm
 
 @[simp]
 theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ :=
@@ -710,7 +679,7 @@ theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 
 @[simp]
 theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := by
-  rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im_zero, neg_zero]⟩
+  rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im, neg_zero]⟩
 #align inner_self_conj inner_self_conj
 
 theorem inner_sub_left (x y z : E) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
@@ -798,7 +767,7 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
       intro H
       apply hy'
       rw [IsROrC.ext_iff]
-      exact ⟨by simp only [H, zero_re'], by simp only [inner_self_nonneg_im, AddMonoidHom.map_zero]⟩
+      exact ⟨by simp only [H, zero_re'], by simp only [inner_self_im, AddMonoidHom.map_zero]⟩
     have h₆ : re ⟪y, y⟫ ≠ 0 := ne_of_gt h₅
     have hmain :=
       calc
@@ -826,13 +795,13 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
 
 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
-  by
-  have h₁ : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_symm] <;> rfl
-  have h₂ := @inner_mul_inner_self_le ℝ F _ _ _ x y
-  dsimp at h₂
-  have h₃ := abs_mul_abs_self ⟪x, y⟫_ℝ
-  rw [h₁] at h₂
-  simpa [h₃] using h₂
+  calc
+    ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ IsROrC.abs ⟪x, y⟫_ℝ * IsROrC.abs ⟪y, x⟫_ℝ :=
+      by
+      rw [real_inner_comm y, ← IsROrC.abs_mul, ← IsROrC.norm_eq_abs]
+      exact le_abs_self _
+    _ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ := @inner_mul_inner_self_le ℝ _ _ _ _ x y
+    
 #align real_inner_mul_inner_self_le real_inner_mul_inner_self_le
 
 /-- A family of vectors is linearly independent if they are nonzero
@@ -1196,18 +1165,9 @@ theorem norm_add_mul_self_real (x y : F) :
 #align norm_add_mul_self_real norm_add_mul_self_real
 
 /-- Expand the square -/
-theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
-  by
-  repeat' rw [sq, ← @inner_self_eq_norm_mul_norm 𝕜]
-  rw [inner_sub_sub_self]
-  calc
-    re (⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫) = re ⟪x, x⟫ - re ⟪x, y⟫ - re ⟪y, x⟫ + re ⟪y, y⟫ := by
-      simp only [map_add, map_sub]
-    _ = -re ⟪y, x⟫ - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by ring
-    _ = -re (⟪x, y⟫†) - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by rw [inner_conj_symm]
-    _ = -re ⟪x, y⟫ - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by rw [conj_re]
-    _ = re ⟪x, x⟫ - 2 * re ⟪x, y⟫ + re ⟪y, y⟫ := by ring
-    
+theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 := by
+  rw [sub_eq_add_neg, @norm_add_sq 𝕜 _ _ _ _ x (-y), norm_neg, inner_neg_right, map_neg, mul_neg,
+    sub_eq_add_neg]
 #align norm_sub_sq norm_sub_sq
 
 alias norm_sub_sq ← norm_sub_pow_two
@@ -1246,7 +1206,7 @@ theorem abs_inner_le_norm (x y : E) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
       conv_lhs =>
         congr
         skip
-        rw [inner_abs_conj_symm]
+        rw [abs_inner_symm]
       exact inner_mul_inner_self_le _ _)
 #align abs_inner_le_norm abs_inner_le_norm
 
@@ -1708,15 +1668,8 @@ theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w
 norms, has absolute value at most 1. -/
 theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : absR (⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)) ≤ 1 :=
   by
-  rw [_root_.abs_div]
-  by_cases h : 0 = absR (‖x‖ * ‖y‖)
-  · rw [← h, div_zero]
-    norm_num
-  · change 0 ≠ absR (‖x‖ * ‖y‖) at h
-    rw [div_le_iff' (lt_of_le_of_ne (ge_iff_le.mp (_root_.abs_nonneg (‖x‖ * ‖y‖))) h)]
-    convert abs_real_inner_le_norm x y using 1
-    rw [_root_.abs_mul, _root_.abs_of_nonneg (norm_nonneg x), _root_.abs_of_nonneg (norm_nonneg y),
-      mul_one]
+  rw [_root_.abs_div, _root_.abs_mul, abs_norm, abs_norm]
+  exact div_le_one_of_le (abs_real_inner_le_norm x y) (by positivity)
 #align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_one
 
 /-- The inner product of a vector with a multiple of itself. -/
@@ -1798,7 +1751,7 @@ theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     · rw [← sub_add_cancel y (r • x), ← ht, inner_add_right, ht0, zero_add, inner_smul_right,
         IsROrC.abs_div, IsROrC.abs_mul, ← inner_self_re_abs, inner_self_eq_norm_mul_norm] at h
       norm_cast  at h
-      rwa [_root_.abs_mul, abs_norm_eq_norm, abs_norm_eq_norm, ← mul_assoc, mul_comm,
+      rwa [_root_.abs_mul, abs_norm, abs_norm, ← mul_assoc, mul_comm,
         mul_div_mul_left _ _ fun h => hx0 (norm_eq_zero.1 h), ← IsROrC.norm_eq_abs, ← norm_smul] at
         h
     have hr0 : r ≠ 0 := by
@@ -1825,7 +1778,7 @@ theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     rcases h with ⟨hx, ⟨r, ⟨hr, hy⟩⟩⟩
     rw [hy, IsROrC.abs_div]
     norm_cast
-    rw [_root_.abs_mul, abs_norm_eq_norm, abs_norm_eq_norm]
+    rw [_root_.abs_mul, abs_norm, abs_norm]
     exact abs_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul hx hr
 #align abs_inner_div_norm_mul_norm_eq_one_iff abs_inner_div_norm_mul_norm_eq_one_iff
 
@@ -1886,24 +1839,10 @@ a negative multiple of the other. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_iff (x y : F) :
     ⟪x, y⟫_ℝ / (‖x‖ * ‖y‖) = -1 ↔ x ≠ 0 ∧ ∃ r : ℝ, r < 0 ∧ y = r • x :=
   by
-  constructor
-  · intro h
-    have ha := h
-    apply_fun absR  at ha
-    norm_num at ha
-    rcases(abs_real_inner_div_norm_mul_norm_eq_one_iff x y).1 ha with ⟨hx, ⟨r, ⟨hr, hy⟩⟩⟩
-    use hx, r
-    refine' And.intro _ hy
-    by_contra hrpos
-    rw [hy] at h
-    rw [real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul hx
-        (lt_of_le_of_ne (le_of_not_lt hrpos) hr.symm)] at
-      h
-    norm_num at h
-  · intro h
-    rcases h with ⟨hx, ⟨r, ⟨hr, hy⟩⟩⟩
-    rw [hy]
-    exact real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul hx hr
+  rw [← neg_eq_iff_eq_neg, ← neg_div, ← inner_neg_right, ← norm_neg y,
+    real_inner_div_norm_mul_norm_eq_one_iff, (@neg_surjective ℝ _).exists]
+  refine' iff.rfl.and (exists_congr fun r => _)
+  rw [neg_pos, neg_smul, neg_inj]
 #align real_inner_div_norm_mul_norm_eq_neg_one_iff real_inner_div_norm_mul_norm_eq_neg_one_iff
 
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,
@@ -1932,7 +1871,7 @@ theorem inner_eq_norm_mul_iff {x y : E} :
     _ ↔ ‖(‖y‖ : 𝕜) • x - (‖x‖ : 𝕜) • y‖ * ‖(‖y‖ : 𝕜) • x - (‖x‖ : 𝕜) • y‖ = 0 :=
       by
       simp only [@norm_sub_mul_self 𝕜, inner_smul_left, inner_smul_right, norm_smul, conj_of_real,
-        IsROrC.norm_eq_abs, abs_of_real, of_real_im, of_real_re, mul_re, abs_norm_eq_norm]
+        IsROrC.norm_eq_abs, abs_of_real, of_real_im, of_real_re, mul_re, abs_norm]
       refine' Eq.congr _ rfl
       ring
     _ ↔ (‖y‖ : 𝕜) • x = (‖x‖ : 𝕜) • y := by simp [norm_sub_eq_zero_iff]
@@ -2026,15 +1965,12 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ :=
   by
   refine'
     le_antisymm ((innerSL 𝕜 x).opNorm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
-  cases' eq_or_lt_of_le (norm_nonneg x) with h h
-  · have : x = 0 := norm_eq_zero.mp (Eq.symm h)
-    simp [this]
-  · refine' (mul_le_mul_right h).mp _
+  rcases eq_or_ne x 0 with (rfl | h)
+  · simp
+  · refine' (mul_le_mul_right (norm_pos_iff.2 h)).mp _
     calc
-      ‖x‖ * ‖x‖ = ‖x‖ ^ 2 := by ring
-      _ = re ⟪x, x⟫ := (norm_sq_eq_inner _)
-      _ ≤ abs ⟪x, x⟫ := (re_le_abs _)
-      _ = ‖⟪x, x⟫‖ := by rw [← IsROrC.norm_eq_abs]
+      ‖x‖ * ‖x‖ = ‖(⟪x, x⟫ : 𝕜)‖ := by
+        rw [← sq, inner_self_eq_norm_sq_to_K, norm_pow, norm_of_real, norm_norm]
       _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_opNorm _
       
 #align innerSL_apply_norm innerSL_apply_norm

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a4df69ca1a9a0e5e26bfe12e2b92814216016d0

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 6e272cd89fa32c72a25dbefd319394c48dce1576
+! leanprover-community/mathlib commit 1a4df69ca1a9a0e5e26bfe12e2b92814216016d0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -2219,6 +2219,7 @@ open DirectSum
 The simple way to express this concept would be as a condition on `V : ι → submodule 𝕜 E`.  We
 We instead implement it as a condition on a family of inner product spaces each equipped with an
 isometric embedding into `E`, thus making it a property of morphisms rather than subobjects.
+The connection to the subobject spelling is shown in `orthogonal_family_iff_pairwise`.
 
 This definition is less lightweight, but allows for better definitional properties when the inner
 product space structure on each of the submodules is important -- for example, when considering

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
+! leanprover-community/mathlib commit 6e272cd89fa32c72a25dbefd319394c48dce1576
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -44,9 +44,6 @@ product structure on `n → 𝕜` for `𝕜 = ℝ` or `ℂ`, see `euclidean_spac
   the sum of the norm-squares of the inner products `⟪v i, x⟫` is no more than the norm-square of
   `x`. For the existence of orthonormal bases, Hilbert bases, etc., see the file
   `analysis.inner_product_space.projection`.
-- The `orthogonal_complement` of a submodule `K` is defined, and basic API established.  Some of
-  the more subtle results about the orthogonal complement are delayed to
-  `analysis.inner_product_space.projection`.
 
 ## Notation
 
@@ -54,8 +51,6 @@ We globally denote the real and complex inner products by `⟪·, ·⟫_ℝ` and
 We also provide two notation namespaces: `real_inner_product_space`, `complex_inner_product_space`,
 which respectively introduce the plain notation `⟪·, ·⟫` for the real and complex inner product.
 
-The orthogonal complement of a submodule `K` is denoted by `Kᗮ`.
-
 ## Implementation notes
 
 We choose the convention that inner products are conjugate linear in the first argument and linear
@@ -2580,212 +2575,6 @@ theorem ContinuousLinearMap.reApplyInnerSelf_smul (T : E →L[𝕜] E) (x : E) {
 
 end ReApplyInnerSelf
 
-/-! ### The orthogonal complement -/
-
-
-section Orthogonal
-
-variable (K : Submodule 𝕜 E)
-
-/-- The subspace of vectors orthogonal to a given subspace. -/
-def Submodule.orthogonal : Submodule 𝕜 E
-    where
-  carrier := { v | ∀ u ∈ K, ⟪u, v⟫ = 0 }
-  zero_mem' _ _ := inner_zero_right _
-  add_mem' x y hx hy u hu := by rw [inner_add_right, hx u hu, hy u hu, add_zero]
-  smul_mem' c x hx u hu := by rw [inner_smul_right, hx u hu, MulZeroClass.mul_zero]
-#align submodule.orthogonal Submodule.orthogonal
-
--- mathport name: «expr ᗮ»
-notation:1200 K "ᗮ" => Submodule.orthogonal K
-
-/-- When a vector is in `Kᗮ`. -/
-theorem Submodule.mem_orthogonal (v : E) : v ∈ Kᗮ ↔ ∀ u ∈ K, ⟪u, v⟫ = 0 :=
-  Iff.rfl
-#align submodule.mem_orthogonal Submodule.mem_orthogonal
-
-/-- When a vector is in `Kᗮ`, with the inner product the
-other way round. -/
-theorem Submodule.mem_orthogonal' (v : E) : v ∈ Kᗮ ↔ ∀ u ∈ K, ⟪v, u⟫ = 0 := by
-  simp_rw [Submodule.mem_orthogonal, inner_eq_zero_symm]
-#align submodule.mem_orthogonal' Submodule.mem_orthogonal'
-
-variable {K}
-
-/-- A vector in `K` is orthogonal to one in `Kᗮ`. -/
-theorem Submodule.inner_right_of_mem_orthogonal {u v : E} (hu : u ∈ K) (hv : v ∈ Kᗮ) : ⟪u, v⟫ = 0 :=
-  (K.mem_orthogonal v).1 hv u hu
-#align submodule.inner_right_of_mem_orthogonal Submodule.inner_right_of_mem_orthogonal
-
-/-- A vector in `Kᗮ` is orthogonal to one in `K`. -/
-theorem Submodule.inner_left_of_mem_orthogonal {u v : E} (hu : u ∈ K) (hv : v ∈ Kᗮ) : ⟪v, u⟫ = 0 :=
-  by rw [inner_eq_zero_symm] <;> exact Submodule.inner_right_of_mem_orthogonal hu hv
-#align submodule.inner_left_of_mem_orthogonal Submodule.inner_left_of_mem_orthogonal
-
-/-- A vector is in `(𝕜 ∙ u)ᗮ` iff it is orthogonal to `u`. -/
-theorem Submodule.mem_orthogonal_singleton_iff_inner_right {u v : E} : v ∈ (𝕜 ∙ u)ᗮ ↔ ⟪u, v⟫ = 0 :=
-  by
-  refine' ⟨Submodule.inner_right_of_mem_orthogonal (Submodule.mem_span_singleton_self u), _⟩
-  intro hv w hw
-  rw [Submodule.mem_span_singleton] at hw
-  obtain ⟨c, rfl⟩ := hw
-  simp [inner_smul_left, hv]
-#align submodule.mem_orthogonal_singleton_iff_inner_right Submodule.mem_orthogonal_singleton_iff_inner_right
-
-/-- A vector in `(𝕜 ∙ u)ᗮ` is orthogonal to `u`. -/
-theorem Submodule.mem_orthogonal_singleton_iff_inner_left {u v : E} : v ∈ (𝕜 ∙ u)ᗮ ↔ ⟪v, u⟫ = 0 :=
-  by rw [Submodule.mem_orthogonal_singleton_iff_inner_right, inner_eq_zero_symm]
-#align submodule.mem_orthogonal_singleton_iff_inner_left Submodule.mem_orthogonal_singleton_iff_inner_left
-
-theorem Submodule.sub_mem_orthogonal_of_inner_left {x y : E} (h : ∀ v : K, ⟪x, v⟫ = ⟪y, v⟫) :
-    x - y ∈ Kᗮ := by
-  rw [Submodule.mem_orthogonal']
-  intro u hu
-  rw [inner_sub_left, sub_eq_zero]
-  exact h ⟨u, hu⟩
-#align submodule.sub_mem_orthogonal_of_inner_left Submodule.sub_mem_orthogonal_of_inner_left
-
-theorem Submodule.sub_mem_orthogonal_of_inner_right {x y : E}
-    (h : ∀ v : K, ⟪(v : E), x⟫ = ⟪(v : E), y⟫) : x - y ∈ Kᗮ :=
-  by
-  intro u hu
-  rw [inner_sub_right, sub_eq_zero]
-  exact h ⟨u, hu⟩
-#align submodule.sub_mem_orthogonal_of_inner_right Submodule.sub_mem_orthogonal_of_inner_right
-
-variable (K)
-
-/-- `K` and `Kᗮ` have trivial intersection. -/
-theorem Submodule.inf_orthogonal_eq_bot : K ⊓ Kᗮ = ⊥ :=
-  by
-  rw [Submodule.eq_bot_iff]
-  intro x
-  rw [Submodule.mem_inf]
-  exact fun ⟨hx, ho⟩ => inner_self_eq_zero.1 (ho x hx)
-#align submodule.inf_orthogonal_eq_bot Submodule.inf_orthogonal_eq_bot
-
-/-- `K` and `Kᗮ` have trivial intersection. -/
-theorem Submodule.orthogonal_disjoint : Disjoint K Kᗮ := by
-  simp [disjoint_iff, K.inf_orthogonal_eq_bot]
-#align submodule.orthogonal_disjoint Submodule.orthogonal_disjoint
-
-/-- `Kᗮ` can be characterized as the intersection of the kernels of the operations of
-inner product with each of the elements of `K`. -/
-theorem orthogonal_eq_inter : Kᗮ = ⨅ v : K, LinearMap.ker (innerSL 𝕜 (v : E)) :=
-  by
-  apply le_antisymm
-  · rw [le_infᵢ_iff]
-    rintro ⟨v, hv⟩ w hw
-    simpa using hw _ hv
-  · intro v hv w hw
-    simp only [Submodule.mem_infᵢ] at hv
-    exact hv ⟨w, hw⟩
-#align orthogonal_eq_inter orthogonal_eq_inter
-
-/-- The orthogonal complement of any submodule `K` is closed. -/
-theorem Submodule.isClosed_orthogonal : IsClosed (Kᗮ : Set E) :=
-  by
-  rw [orthogonal_eq_inter K]
-  have := fun v : K => ContinuousLinearMap.isClosed_ker (innerSL 𝕜 (v : E))
-  convert isClosed_interᵢ this
-  simp only [Submodule.infᵢ_coe]
-#align submodule.is_closed_orthogonal Submodule.isClosed_orthogonal
-
-/-- In a complete space, the orthogonal complement of any submodule `K` is complete. -/
-instance [CompleteSpace E] : CompleteSpace Kᗮ :=
-  K.isClosed_orthogonal.completeSpace_coe
-
-variable (𝕜 E)
-
-/-- `submodule.orthogonal` gives a `galois_connection` between
-`submodule 𝕜 E` and its `order_dual`. -/
-theorem Submodule.orthogonal_gc :
-    @GaloisConnection (Submodule 𝕜 E) (Submodule 𝕜 E)ᵒᵈ _ _ Submodule.orthogonal
-      Submodule.orthogonal :=
-  fun K₁ K₂ =>
-  ⟨fun h v hv u hu => Submodule.inner_left_of_mem_orthogonal hv (h hu), fun h v hv u hu =>
-    Submodule.inner_left_of_mem_orthogonal hv (h hu)⟩
-#align submodule.orthogonal_gc Submodule.orthogonal_gc
-
-variable {𝕜 E}
-
-/-- `submodule.orthogonal` reverses the `≤` ordering of two
-subspaces. -/
-theorem Submodule.orthogonal_le {K₁ K₂ : Submodule 𝕜 E} (h : K₁ ≤ K₂) : K₂ᗮ ≤ K₁ᗮ :=
-  (Submodule.orthogonal_gc 𝕜 E).monotone_l h
-#align submodule.orthogonal_le Submodule.orthogonal_le
-
-/-- `submodule.orthogonal.orthogonal` preserves the `≤` ordering of two
-subspaces. -/
-theorem Submodule.orthogonal_orthogonal_monotone {K₁ K₂ : Submodule 𝕜 E} (h : K₁ ≤ K₂) :
-    K₁ᗮᗮ ≤ K₂ᗮᗮ :=
-  Submodule.orthogonal_le (Submodule.orthogonal_le h)
-#align submodule.orthogonal_orthogonal_monotone Submodule.orthogonal_orthogonal_monotone
-
-/-- `K` is contained in `Kᗮᗮ`. -/
-theorem Submodule.le_orthogonal_orthogonal : K ≤ Kᗮᗮ :=
-  (Submodule.orthogonal_gc 𝕜 E).le_u_l _
-#align submodule.le_orthogonal_orthogonal Submodule.le_orthogonal_orthogonal
-
-/-- The inf of two orthogonal subspaces equals the subspace orthogonal
-to the sup. -/
-theorem Submodule.inf_orthogonal (K₁ K₂ : Submodule 𝕜 E) : K₁ᗮ ⊓ K₂ᗮ = (K₁ ⊔ K₂)ᗮ :=
-  (Submodule.orthogonal_gc 𝕜 E).l_sup.symm
-#align submodule.inf_orthogonal Submodule.inf_orthogonal
-
-/-- The inf of an indexed family of orthogonal subspaces equals the
-subspace orthogonal to the sup. -/
-theorem Submodule.infᵢ_orthogonal {ι : Type _} (K : ι → Submodule 𝕜 E) :
-    (⨅ i, (K i)ᗮ) = (supᵢ K)ᗮ :=
-  (Submodule.orthogonal_gc 𝕜 E).l_supᵢ.symm
-#align submodule.infi_orthogonal Submodule.infᵢ_orthogonal
-
-/-- The inf of a set of orthogonal subspaces equals the subspace orthogonal to the sup. -/
-theorem Submodule.Inf_orthogonal (s : Set <| Submodule 𝕜 E) : (⨅ K ∈ s, Kᗮ) = (supₛ s)ᗮ :=
-  (Submodule.orthogonal_gc 𝕜 E).l_supₛ.symm
-#align submodule.Inf_orthogonal Submodule.Inf_orthogonal
-
-@[simp]
-theorem Submodule.top_orthogonal_eq_bot : (⊤ : Submodule 𝕜 E)ᗮ = ⊥ :=
-  by
-  ext
-  rw [Submodule.mem_bot, Submodule.mem_orthogonal]
-  exact
-    ⟨fun h => inner_self_eq_zero.mp (h x Submodule.mem_top),
-      by
-      rintro rfl
-      simp⟩
-#align submodule.top_orthogonal_eq_bot Submodule.top_orthogonal_eq_bot
-
-@[simp]
-theorem Submodule.bot_orthogonal_eq_top : (⊥ : Submodule 𝕜 E)ᗮ = ⊤ :=
-  by
-  rw [← Submodule.top_orthogonal_eq_bot, eq_top_iff]
-  exact Submodule.le_orthogonal_orthogonal ⊤
-#align submodule.bot_orthogonal_eq_top Submodule.bot_orthogonal_eq_top
-
-@[simp]
-theorem Submodule.orthogonal_eq_top_iff : Kᗮ = ⊤ ↔ K = ⊥ :=
-  by
-  refine'
-    ⟨_, by
-      rintro rfl
-      exact Submodule.bot_orthogonal_eq_top⟩
-  intro h
-  have : K ⊓ Kᗮ = ⊥ := K.orthogonal_disjoint.eq_bot
-  rwa [h, inf_comm, top_inf_eq] at this
-#align submodule.orthogonal_eq_top_iff Submodule.orthogonal_eq_top_iff
-
-theorem Submodule.orthogonalFamily_self :
-    OrthogonalFamily 𝕜 (fun b => ↥(cond b K Kᗮ)) fun b => (cond b K Kᗮ).subtypeₗᵢ
-  | tt, tt => absurd rfl
-  | tt, ff => fun _ x y => Submodule.inner_right_of_mem_orthogonal x.Prop y.Prop
-  | ff, tt => fun _ x y => Submodule.inner_left_of_mem_orthogonal y.Prop x.Prop
-  | ff, ff => absurd rfl
-#align submodule.orthogonal_family_self Submodule.orthogonalFamily_self
-
-end Orthogonal
-
 namespace UniformSpace.Completion
 
 open UniformSpace Function

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit c78cad350eb321c81e1eacf68d14e3d3ba1e17f7
+! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -19,8 +19,8 @@ import Mathbin.LinearAlgebra.BilinearForm
 # Inner product space
 
 This file defines inner product spaces and proves the basic properties.  We do not formally
-define Hilbert spaces, but they can be obtained using the pair of assumptions
-`[inner_product_space 𝕜 E] [complete_space E]`.
+define Hilbert spaces, but they can be obtained using the set of assumptions
+`[normed_add_comm_group E] [inner_product_space 𝕜 E] [complete_space E]`.
 
 An inner product space is a vector space endowed with an inner product. It generalizes the notion of
 dot product in `ℝ^n` and provides the means of defining the length of a vector and the angle between
@@ -111,7 +111,7 @@ spaces.
 
 To construct a norm from an inner product, see `inner_product_space.of_core`.
 -/
-class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] extends NormedAddCommGroup E,
+class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] [NormedAddCommGroup E] extends
   NormedSpace 𝕜 E, HasInner 𝕜 E where
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
   conj_symm : ∀ x y, conj (inner y x) = inner x y
@@ -119,8 +119,6 @@ class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] extends Norme
   smul_left : ∀ x y r, inner (r • x) y = conj r * inner x y
 #align inner_product_space InnerProductSpace
 
-attribute [nolint dangerous_instance] InnerProductSpace.toNormedAddCommGroup
-
 /-!
 ### Constructing a normed space structure from an inner product
 
@@ -140,7 +138,6 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 -/
 
 
--- note [is_R_or_C instance]
 /-- A structure requiring that a scalar product is positive definite and symmetric, from which one
 can construct an `inner_product_space` instance in `inner_product_space.of_core`. -/
 @[nolint has_nonempty_instance]
@@ -429,26 +426,32 @@ def toNormedSpace : NormedSpace 𝕜 F
 
 end InnerProductSpace.ofCore
 
+section
+
+attribute [local instance] InnerProductSpace.OfCore.toNormedAddCommGroup
+
 /-- Given a `inner_product_space.core` structure on a space, one can use it to turn
-the space into an inner product space, constructing the norm out of the inner product -/
+the space into an inner product space. The `normed_add_comm_group` structure is expected
+to already be defined with `inner_product_space.of_core.to_normed_add_comm_group`. -/
 def InnerProductSpace.ofCore [AddCommGroup F] [Module 𝕜 F] (c : InnerProductSpace.Core 𝕜 F) :
     InnerProductSpace 𝕜 F :=
-  by
-  letI : NormedAddCommGroup F := @InnerProductSpace.OfCore.toNormedAddCommGroup 𝕜 F _ _ _ c
   letI : NormedSpace 𝕜 F := @InnerProductSpace.OfCore.toNormedSpace 𝕜 F _ _ _ c
-  exact
-    { c with
-      norm_sq_eq_inner := fun x =>
-        by
-        have h₁ : ‖x‖ ^ 2 = sqrt (re (c.inner x x)) ^ 2 := rfl
-        have h₂ : 0 ≤ re (c.inner x x) := InnerProductSpace.OfCore.inner_self_nonneg
-        simp [h₁, sq_sqrt, h₂] }
+  { c with
+    norm_sq_eq_inner := fun x =>
+      by
+      have h₁ : ‖x‖ ^ 2 = sqrt (re (c.inner x x)) ^ 2 := rfl
+      have h₂ : 0 ≤ re (c.inner x x) := InnerProductSpace.OfCore.inner_self_nonneg
+      simp [h₁, sq_sqrt, h₂] }
 #align inner_product_space.of_core InnerProductSpace.ofCore
 
+end
+
 /-! ### Properties of inner product spaces -/
 
 
-variable [InnerProductSpace 𝕜 E] [InnerProductSpace ℝ F]
+variable [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
+
+variable [NormedAddCommGroup F] [InnerProductSpace ℝ F]
 
 variable [dec_E : DecidableEq E]
 
@@ -477,7 +480,7 @@ theorem inner_conj_symm (x y : E) : ⟪y, x⟫† = ⟪x, y⟫ :=
 #align inner_conj_symm inner_conj_symm
 
 theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
-  @inner_conj_symm ℝ _ _ _ x y
+  @inner_conj_symm ℝ _ _ _ _ x y
 #align real_inner_comm real_inner_comm
 
 theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
@@ -621,7 +624,7 @@ theorem inner_self_nonneg {x : E} : 0 ≤ re ⟪x, x⟫ := by
 #align inner_self_nonneg inner_self_nonneg
 
 theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
-  @inner_self_nonneg ℝ F _ _ x
+  @inner_self_nonneg ℝ F _ _ _ x
 #align real_inner_self_nonneg real_inner_self_nonneg
 
 @[simp]
@@ -646,7 +649,7 @@ theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 :=
   by
   constructor
   · intro h
-    rw [← inner_self_eq_zero]
+    rw [← @inner_self_eq_zero 𝕜]
     have H₁ : re ⟪x, x⟫ ≥ 0 := inner_self_nonneg
     have H₂ : re ⟪x, x⟫ = 0 := le_antisymm h H₁
     rw [IsROrC.ext_iff]
@@ -657,7 +660,7 @@ theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 :=
 
 theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
   by
-  have h := @inner_self_nonpos ℝ F _ _ x
+  have h := @inner_self_nonpos ℝ F _ _ _ x
   simpa using h
 #align real_inner_self_nonpos real_inner_self_nonpos
 
@@ -687,7 +690,7 @@ theorem inner_self_abs_to_K (x : E) : (absK ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
 
 theorem real_inner_self_abs (x : F) : absR ⟪x, x⟫_ℝ = ⟪x, x⟫_ℝ :=
   by
-  have h := @inner_self_abs_to_K ℝ F _ _ x
+  have h := @inner_self_abs_to_K ℝ F _ _ _ x
   simpa using h
 #align real_inner_self_abs real_inner_self_abs
 
@@ -760,11 +763,11 @@ variable (𝕜)
 include 𝕜
 
 theorem ext_inner_left {x y : E} (h : ∀ v, ⟪v, x⟫ = ⟪v, y⟫) : x = y := by
-  rw [← sub_eq_zero, ← inner_self_eq_zero, inner_sub_right, sub_eq_zero, h (x - y)]
+  rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_right, sub_eq_zero, h (x - y)]
 #align ext_inner_left ext_inner_left
 
 theorem ext_inner_right {x y : E} (h : ∀ v, ⟪x, v⟫ = ⟪y, v⟫) : x = y := by
-  rw [← sub_eq_zero, ← inner_self_eq_zero, inner_sub_left, sub_eq_zero, h (x - y)]
+  rw [← sub_eq_zero, ← @inner_self_eq_zero 𝕜, inner_sub_left, sub_eq_zero, h (x - y)]
 #align ext_inner_right ext_inner_right
 
 omit 𝕜
@@ -830,7 +833,7 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   by
   have h₁ : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_symm] <;> rfl
-  have h₂ := @inner_mul_inner_self_le ℝ F _ _ x y
+  have h₂ := @inner_mul_inner_self_le ℝ F _ _ _ x y
   dsimp at h₂
   have h₃ := abs_mul_abs_self ⟪x, y⟫_ℝ
   rw [h₁] at h₂
@@ -888,7 +891,7 @@ theorem orthonormal_iff_ite {v : ι → E} :
   · intro h
     constructor
     · intro i
-      have h' : ‖v i‖ ^ 2 = 1 ^ 2 := by simp [norm_sq_eq_inner, h i i]
+      have h' : ‖v i‖ ^ 2 = 1 ^ 2 := by simp [@norm_sq_eq_inner 𝕜, h i i]
       have h₁ : 0 ≤ ‖v i‖ := norm_nonneg _
       have h₂ : (0 : ℝ) ≤ 1 := zero_le_one
       rwa [sq_eq_sq h₁ h₂] at h'
@@ -1135,12 +1138,13 @@ theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
 
 theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
   by
-  have h := @norm_eq_sqrt_inner ℝ F _ _ x
+  have h := @norm_eq_sqrt_inner ℝ F _ _ _ x
   simpa using h
 #align norm_eq_sqrt_real_inner norm_eq_sqrt_real_inner
 
 theorem inner_self_eq_norm_mul_norm (x : E) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
-  rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
+  rw [@norm_eq_sqrt_inner 𝕜, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫),
+    sqrt_mul_self inner_self_nonneg]
 #align inner_self_eq_norm_mul_norm inner_self_eq_norm_mul_norm
 
 theorem inner_self_eq_norm_sq (x : E) : re ⟪x, x⟫ = ‖x‖ ^ 2 := by
@@ -1149,7 +1153,7 @@ theorem inner_self_eq_norm_sq (x : E) : re ⟪x, x⟫ = ‖x‖ ^ 2 := by
 
 theorem real_inner_self_eq_norm_mul_norm (x : F) : ⟪x, x⟫_ℝ = ‖x‖ * ‖x‖ :=
   by
-  have h := @inner_self_eq_norm_mul_norm ℝ F _ _ x
+  have h := @inner_self_eq_norm_mul_norm ℝ F _ _ _ x
   simpa using h
 #align real_inner_self_eq_norm_mul_norm real_inner_self_eq_norm_mul_norm
 
@@ -1157,10 +1161,12 @@ theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
   rw [pow_two, real_inner_self_eq_norm_mul_norm]
 #align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sq
 
+variable (𝕜)
+
 /-- Expand the square -/
 theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
-  repeat' rw [sq, ← inner_self_eq_norm_mul_norm]
+  repeat' rw [sq, ← @inner_self_eq_norm_mul_norm 𝕜]
   rw [inner_add_add_self, two_mul]
   simp only [add_assoc, add_left_inj, add_right_inj, AddMonoidHom.map_add]
   rw [← inner_conj_symm, conj_re]
@@ -1172,7 +1178,7 @@ alias norm_add_sq ← norm_add_pow_two
 /-- Expand the square -/
 theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
   by
-  have h := @norm_add_sq ℝ _ _ _ x y
+  have h := @norm_add_sq ℝ _ _ _ _ x y
   simpa using h
 #align norm_add_sq_real norm_add_sq_real
 
@@ -1190,14 +1196,14 @@ theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x
 theorem norm_add_mul_self_real (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
   by
-  have h := @norm_add_mul_self ℝ _ _ _ x y
+  have h := @norm_add_mul_self ℝ _ _ _ _ x y
   simpa using h
 #align norm_add_mul_self_real norm_add_mul_self_real
 
 /-- Expand the square -/
 theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
-  repeat' rw [sq, ← inner_self_eq_norm_mul_norm]
+  repeat' rw [sq, ← @inner_self_eq_norm_mul_norm 𝕜]
   rw [inner_sub_sub_self]
   calc
     re (⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫) = re ⟪x, x⟫ - re ⟪x, y⟫ - re ⟪y, x⟫ + re ⟪y, y⟫ := by
@@ -1214,7 +1220,7 @@ alias norm_sub_sq ← norm_sub_pow_two
 
 /-- Expand the square -/
 theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
-  norm_sub_sq _ _
+  @norm_sub_sq ℝ _ _ _ _ _ _
 #align norm_sub_sq_real norm_sub_sq_real
 
 alias norm_sub_sq_real ← norm_sub_pow_two_real
@@ -1231,7 +1237,7 @@ theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x
 theorem norm_sub_mul_self_real (x y : F) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
   by
-  have h := @norm_sub_mul_self ℝ _ _ _ x y
+  have h := @norm_sub_mul_self ℝ _ _ _ _ x y
   simpa using h
 #align norm_sub_mul_self_real norm_sub_mul_self_real
 
@@ -1264,7 +1270,7 @@ theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
 /-- Cauchy–Schwarz inequality with norm -/
 theorem abs_real_inner_le_norm (x y : F) : absR ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
   by
-  have h := @abs_inner_le_norm ℝ F _ _ x y
+  have h := @abs_inner_le_norm ℝ F _ _ _ x y
   simpa using h
 #align abs_real_inner_le_norm abs_real_inner_le_norm
 
@@ -1275,26 +1281,30 @@ theorem real_inner_le_norm (x y : F) : ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
 
 include 𝕜
 
+variable (𝕜)
+
 theorem parallelogram_law_with_norm (x y : E) :
     ‖x + y‖ * ‖x + y‖ + ‖x - y‖ * ‖x - y‖ = 2 * (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) :=
   by
-  simp only [← inner_self_eq_norm_mul_norm]
+  simp only [← @inner_self_eq_norm_mul_norm 𝕜]
   rw [← re.map_add, parallelogram_law, two_mul, two_mul]
   simp only [re.map_add]
 #align parallelogram_law_with_norm parallelogram_law_with_norm
 
 theorem parallelogram_law_with_nnnorm (x y : E) :
     ‖x + y‖₊ * ‖x + y‖₊ + ‖x - y‖₊ * ‖x - y‖₊ = 2 * (‖x‖₊ * ‖x‖₊ + ‖y‖₊ * ‖y‖₊) :=
-  Subtype.ext <| parallelogram_law_with_norm x y
+  Subtype.ext <| parallelogram_law_with_norm 𝕜 x y
 #align parallelogram_law_with_nnnorm parallelogram_law_with_nnnorm
 
+variable {𝕜}
+
 omit 𝕜
 
 /-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 :=
   by
-  rw [norm_add_mul_self]
+  rw [@norm_add_mul_self 𝕜]
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
@@ -1302,7 +1312,7 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_tw
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 :=
   by
-  rw [norm_sub_mul_self]
+  rw [@norm_sub_mul_self 𝕜]
   ring
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
@@ -1310,7 +1320,7 @@ theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_tw
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 :=
   by
-  rw [norm_add_mul_self, norm_sub_mul_self]
+  rw [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜]
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four
 
@@ -1318,7 +1328,7 @@ theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
 theorem im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four (x y : E) :
     im ⟪x, y⟫ = (‖x - IK • y‖ * ‖x - IK • y‖ - ‖x + IK • y‖ * ‖x + IK • y‖) / 4 :=
   by
-  simp only [norm_add_mul_self, norm_sub_mul_self, inner_smul_right, I_mul_re]
+  simp only [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜, inner_smul_right, I_mul_re]
   ring
 #align im_inner_eq_norm_sub_I_smul_mul_self_sub_norm_add_I_smul_mul_self_div_four im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four
 
@@ -1366,14 +1376,14 @@ instance (priority := 100) InnerProductSpace.to_uniformConvexSpace : UniformConv
       exact pow_pos hε _
     rw [sub_sub_cancel]
     refine' le_sqrt_of_sq_le _
-    rw [sq, eq_sub_iff_add_eq.2 (parallelogram_law_with_norm x y), ← sq ‖x - y‖, hx, hy]
+    rw [sq, eq_sub_iff_add_eq.2 (parallelogram_law_with_norm ℝ x y), ← sq ‖x - y‖, hx, hy]
     norm_num
     exact pow_le_pow_of_le_left hε.le hxy _⟩
 #align inner_product_space.to_uniform_convex_space InnerProductSpace.to_uniformConvexSpace
 
 section Complex
 
-variable {V : Type _} [InnerProductSpace ℂ V]
+variable {V : Type _} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
 
 /-- A complex polarization identity, with a linear map
 -/
@@ -1410,7 +1420,7 @@ theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_
   constructor
   · intro hT
     ext x
-    simp only [LinearMap.zero_apply, ← inner_self_eq_zero, inner_map_polarization, hT]
+    simp only [LinearMap.zero_apply, ← @inner_self_eq_zero ℂ, inner_map_polarization, hT]
     norm_num
   · rintro rfl x
     simp only [LinearMap.zero_apply, inner_zero_left]
@@ -1433,9 +1443,9 @@ section
 
 variable {ι : Type _} {ι' : Type _} {ι'' : Type _}
 
-variable {E' : Type _} [InnerProductSpace 𝕜 E']
+variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
-variable {E'' : Type _} [InnerProductSpace 𝕜 E'']
+variable {E'' : Type _} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
 /-- A linear isometry preserves the inner product. -/
 @[simp]
@@ -1451,7 +1461,7 @@ theorem LinearIsometryEquiv.inner_map_map (f : E ≃ₗᵢ[𝕜] E') (x y : E) :
 
 /-- A linear map that preserves the inner product is a linear isometry. -/
 def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E →ₗᵢ[𝕜] E' :=
-  ⟨f, fun x => by simp only [norm_eq_sqrt_inner, h]⟩
+  ⟨f, fun x => by simp only [@norm_eq_sqrt_inner 𝕜, h]⟩
 #align linear_map.isometry_of_inner LinearMap.isometryOfInner
 
 @[simp]
@@ -1624,7 +1634,7 @@ theorem real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ = 0 :=
   by
-  rw [norm_add_mul_self, add_right_cancel_iff, add_right_eq_self, mul_eq_zero]
+  rw [@norm_add_mul_self ℝ, add_right_cancel_iff, add_right_eq_self, mul_eq_zero]
   norm_num
 #align norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
 
@@ -1639,7 +1649,7 @@ theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
 theorem norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero (x y : E) (h : ⟪x, y⟫ = 0) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ :=
   by
-  rw [norm_add_mul_self, add_right_cancel_iff, add_right_eq_self, mul_eq_zero]
+  rw [@norm_add_mul_self 𝕜, add_right_cancel_iff, add_right_eq_self, mul_eq_zero]
   apply Or.inr
   simp only [h, zero_re']
 #align norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero
@@ -1655,7 +1665,7 @@ inner product form. -/
 theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ = 0 :=
   by
-  rw [norm_sub_mul_self, add_right_cancel_iff, sub_eq_add_neg, add_right_eq_self, neg_eq_zero,
+  rw [@norm_sub_mul_self ℝ, add_right_cancel_iff, sub_eq_add_neg, add_right_eq_self, neg_eq_zero,
     mul_eq_zero]
   norm_num
 #align norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero
@@ -1680,7 +1690,7 @@ if they have the same norm. -/
 theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 ↔ ‖x‖ = ‖y‖ :=
   by
   conv_rhs => rw [← mul_self_inj_of_nonneg (norm_nonneg _) (norm_nonneg _)]
-  simp only [← inner_self_eq_norm_mul_norm, inner_add_left, inner_sub_right, real_inner_comm y x,
+  simp only [← @inner_self_eq_norm_mul_norm ℝ, inner_add_left, inner_sub_right, real_inner_comm y x,
     sub_eq_zero, re_to_real]
   constructor
   · intro h
@@ -1694,7 +1704,7 @@ theorem real_inner_add_sub_eq_zero_iff (x y : F) : ⟪x + y, x - y⟫_ℝ = 0 
 theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w + v‖ :=
   by
   rw [← mul_self_inj_of_nonneg (norm_nonneg _) (norm_nonneg _)]
-  simp only [h, ← inner_self_eq_norm_mul_norm, sub_neg_eq_add, sub_zero, map_sub, zero_re',
+  simp only [h, ← @inner_self_eq_norm_mul_norm 𝕜, sub_neg_eq_add, sub_zero, map_sub, zero_re',
     zero_sub, add_zero, map_add, inner_add_right, inner_sub_left, inner_sub_right, inner_re_symm,
     zero_add]
 #align norm_sub_eq_norm_add norm_sub_eq_norm_add
@@ -1787,8 +1797,8 @@ theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
       by
       rw [ht, inner_sub_right, inner_smul_right, hr]
       norm_cast
-      rw [← inner_self_eq_norm_mul_norm, inner_self_re_to_K,
-        div_mul_cancel _ fun h => hx0 (inner_self_eq_zero.1 h), sub_self]
+      rw [← @inner_self_eq_norm_mul_norm 𝕜, inner_self_re_to_K,
+        div_mul_cancel _ fun h => hx0 ((@inner_self_eq_zero 𝕜 _ _ _ _ _).1 h), sub_self]
     replace h : ‖r • x‖ / ‖t + r • x‖ = 1
     · rw [← sub_add_cancel y (r • x), ← ht, inner_add_right, ht0, zero_add, inner_smul_right,
         IsROrC.abs_div, IsROrC.abs_mul, ← inner_self_re_abs, inner_self_eq_norm_mul_norm] at h
@@ -1803,7 +1813,7 @@ theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     refine' And.intro hr0 _
     have h2 : ‖r • x‖ ^ 2 = ‖t + r • x‖ ^ 2 := by rw [eq_of_div_eq_one h]
     replace h2 : ⟪r • x, r • x⟫ = ⟪t, t⟫ + ⟪t, r • x⟫ + ⟪r • x, t⟫ + ⟪r • x, r • x⟫
-    · rw [sq, sq, ← inner_self_eq_norm_mul_norm, ← inner_self_eq_norm_mul_norm] at h2
+    · rw [sq, sq, ← @inner_self_eq_norm_mul_norm 𝕜, ← @inner_self_eq_norm_mul_norm 𝕜] at h2
       have h2' := congr_arg (fun z : ℝ => (z : 𝕜)) h2
       simp_rw [inner_self_re_to_K, inner_add_add_self] at h2'
       exact h2'
@@ -1830,7 +1840,7 @@ a multiple of the other. One form of equality case for Cauchy-Schwarz. -/
 theorem abs_real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
     absR (⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)) = 1 ↔ x ≠ 0 ∧ ∃ r : ℝ, r ≠ 0 ∧ y = r • x :=
   by
-  have := @abs_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ x y
+  have := @abs_inner_div_norm_mul_norm_eq_one_iff ℝ F _ _ _ x y
   simpa [coe_real_eq_id] using this
 #align abs_real_inner_div_norm_mul_norm_eq_one_iff abs_real_inner_div_norm_mul_norm_eq_one_iff
 
@@ -1926,7 +1936,7 @@ theorem inner_eq_norm_mul_iff {x y : E} :
       simp [h, show (2 : ℝ) ≠ 0 by norm_num, sub_eq_zero]
     _ ↔ ‖(‖y‖ : 𝕜) • x - (‖x‖ : 𝕜) • y‖ * ‖(‖y‖ : 𝕜) • x - (‖x‖ : 𝕜) • y‖ = 0 :=
       by
-      simp only [norm_sub_mul_self, inner_smul_left, inner_smul_right, norm_smul, conj_of_real,
+      simp only [@norm_sub_mul_self 𝕜, inner_smul_left, inner_smul_right, norm_smul, conj_of_real,
         IsROrC.norm_eq_abs, abs_of_real, of_real_im, of_real_re, mul_re, abs_norm_eq_norm]
       refine' Eq.congr _ rfl
       ring
@@ -2049,7 +2059,7 @@ variable {𝕜}
 
 namespace ContinuousLinearMap
 
-variable {E' : Type _} [InnerProductSpace 𝕜 E']
+variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 /-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `λ x y, ⟪x, A y⟫`, given
 as a continuous linear map. -/
@@ -2068,7 +2078,7 @@ theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm
   refine' op_norm_le_bound _ (mul_nonneg (norm_nonneg _) (norm_nonneg _)) _
   intro x
   have h₁ : ‖f x‖ ≤ ‖f‖ * ‖x‖ := le_op_norm _ _
-  have h₂ := @norm_inner_le_norm 𝕜 E' _ _ v (f x)
+  have h₂ := @norm_inner_le_norm 𝕜 E' _ _ _ v (f x)
   calc
     ‖⟪v, f x⟫‖ ≤ ‖v‖ * ‖f x‖ := h₂
     _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := (mul_le_mul_of_nonneg_left h₁ (norm_nonneg v))
@@ -2121,8 +2131,8 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
   suffices hbf : ‖x - ∑ i in s, ⟪v i, x⟫ • v i‖ ^ 2 = ‖x‖ ^ 2 - ∑ i in s, ‖⟪v i, x⟫‖ ^ 2
   · rw [← sub_nonneg, ← hbf]
     simp only [norm_nonneg, pow_nonneg]
-  rw [norm_sub_sq, sub_add]
-  simp only [InnerProductSpace.norm_sq_eq_inner, inner_sum]
+  rw [@norm_sub_sq 𝕜, sub_add]
+  simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, inner_sum]
   simp only [sum_inner, two_mul, inner_smul_right, inner_conj_symm, ← mul_assoc, h₂, ← h₃,
     inner_conj_symm, AddMonoidHom.map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib,
     inner_smul_left, add_sub_cancel']
@@ -2155,7 +2165,6 @@ end BesselsInequality
 /-- A field `𝕜` satisfying `is_R_or_C` is itself a `𝕜`-inner product space. -/
 instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
     where
-  toNormedAddCommGroup := NonUnitalNormedRing.toNormedAddCommGroup
   inner x y := conj x * y
   norm_sq_eq_inner x := by
     unfold inner
@@ -2175,13 +2184,10 @@ theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
 
 /-- Induced inner product on a submodule. -/
 instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace 𝕜 W :=
-  {
-    Submodule.normedSpace
-      W with
-    toNormedAddCommGroup := Submodule.normedAddCommGroup _
+  { Submodule.normedSpace W with
     inner := fun x y => ⟪(x : E), (y : E)⟫
     conj_symm := fun _ _ => inner_conj_symm _ _
-    norm_sq_eq_inner := fun _ => norm_sq_eq_inner _
+    norm_sq_eq_inner := fun x => norm_sq_eq_inner (x : E)
     add_left := fun _ _ _ => inner_add_left _ _ _
     smul_left := fun _ _ _ => inner_smul_left _ _ _ }
 #align submodule.inner_product_space Submodule.innerProductSpace
@@ -2193,12 +2199,12 @@ theorem Submodule.coe_inner (W : Submodule 𝕜 E) (x y : W) : ⟪x, y⟫ = ⟪(
 #align submodule.coe_inner Submodule.coe_inner
 
 theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
-    (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ ι (Set.codRestrict v s hvs) :=
+    (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ _ ι (Set.codRestrict v s hvs) :=
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
 theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
-    @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ ι fun i : ι =>
+    @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
   hv.codRestrict (Submodule.span 𝕜 (Set.range v)) fun i =>
     Submodule.subset_span (Set.mem_range_self i)
@@ -2224,13 +2230,13 @@ product space structure on each of the submodules is important -- for example, w
 their Hilbert sum (`pi_lp V 2`).  For example, given an orthonormal set of vectors `v : ι → E`,
 we have an associated orthogonal family of one-dimensional subspaces of `E`, which it is convenient
 to be able to discuss using `ι → 𝕜` rather than `Π i : ι, span 𝕜 (v i)`. -/
-def OrthogonalFamily (G : ι → Type _) [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) :
-    Prop :=
+def OrthogonalFamily (G : ι → Type _) [∀ i, NormedAddCommGroup (G i)]
+    [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) : Prop :=
   ∀ ⦃i j⦄, i ≠ j → ∀ v : G i, ∀ w : G j, ⟪V i v, V j w⟫ = 0
 #align orthogonal_family OrthogonalFamily
 
-variable {𝕜} {G : ι → Type _} [∀ i, InnerProductSpace 𝕜 (G i)] {V : ∀ i, G i →ₗᵢ[𝕜] E}
-  (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
+variable {𝕜} {G : ι → Type _} [∀ i, NormedAddCommGroup (G i)] [∀ i, InnerProductSpace 𝕜 (G i)]
+  {V : ∀ i, G i →ₗᵢ[𝕜] E} (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
     OrthogonalFamily 𝕜 (fun i : ι => 𝕜) fun i => LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
@@ -2461,7 +2467,6 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
   { HasInner.isROrCToReal 𝕜 E,
     NormedSpace.restrictScalars ℝ 𝕜
       E with
-    toNormedAddCommGroup := InnerProductSpace.toNormedAddCommGroup 𝕜
     norm_sq_eq_inner := norm_sq_eq_inner
     conj_symm := fun x y => inner_re_symm _ _
     add_left := fun x y z => by
@@ -2487,7 +2492,8 @@ theorem real_inner_i_smul_self (x : E) :
 omit 𝕜
 
 /-- A complex inner product implies a real inner product -/
-instance InnerProductSpace.complexToReal [InnerProductSpace ℂ G] : InnerProductSpace ℝ G :=
+instance InnerProductSpace.complexToReal [NormedAddCommGroup G] [InnerProductSpace ℂ G] :
+    InnerProductSpace ℝ G :=
   InnerProductSpace.isROrCToReal ℂ G
 #align inner_product_space.complex_to_real InnerProductSpace.complexToReal
 
@@ -2498,8 +2504,8 @@ protected theorem Complex.inner (w z : ℂ) : ⟪w, z⟫_ℝ = (conj w * z).re :
 
 /-- The inner product on an inner product space of dimension 2 can be evaluated in terms
 of a complex-number representation of the space. -/
-theorem inner_map_complex [InnerProductSpace ℝ G] (f : G ≃ₗᵢ[ℝ] ℂ) (x y : G) :
-    ⟪x, y⟫_ℝ = (conj (f x) * f y).re := by rw [← Complex.inner, f.inner_map_map]
+theorem inner_map_complex [NormedAddCommGroup G] [InnerProductSpace ℝ G] (f : G ≃ₗᵢ[ℝ] ℂ)
+    (x y : G) : ⟪x, y⟫_ℝ = (conj (f x) * f y).re := by rw [← Complex.inner, f.inner_map_map]
 #align inner_map_complex inner_map_complex
 
 end IsROrCToReal
@@ -2816,7 +2822,6 @@ protected theorem Continuous.inner {α : Type _} [TopologicalSpace α] {f g : α
 
 instance : InnerProductSpace 𝕜 (Completion E)
     where
-  toNormedAddCommGroup := inferInstance
   norm_sq_eq_inner x :=
     Completion.induction_on x
       (isClosed_eq (continuous_norm.pow 2)

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ec294687917cbc5c73620b4414ae9b5dd9ae1b4

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit a37865088599172dc923253bb7b31998297d9c8a
+! leanprover-community/mathlib commit c78cad350eb321c81e1eacf68d14e3d3ba1e17f7
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -1978,6 +1978,8 @@ theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset 
     Finset.sum_div, mul_div_assoc, mul_assoc]
 #align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zero
 
+variable (𝕜)
+
 /-- The inner product as a sesquilinear map. -/
 def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
   LinearMap.mk₂'ₛₗ _ _ (fun v w => ⟪v, w⟫) inner_add_left (fun _ _ _ => inner_smul_left _ _ _)
@@ -1985,12 +1987,12 @@ def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
 #align innerₛₗ innerₛₗ
 
 @[simp]
-theorem innerₛₗ_apply_coe (v : E) : (innerₛₗ v : E → 𝕜) = fun w => ⟪v, w⟫ :=
+theorem innerₛₗ_apply_coe (v : E) : ⇑(innerₛₗ 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply_coe innerₛₗ_apply_coe
 
 @[simp]
-theorem innerₛₗ_apply (v w : E) : innerₛₗ v w = ⟪v, w⟫ :=
+theorem innerₛₗ_apply (v w : E) : innerₛₗ 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply innerₛₗ_apply
 
@@ -1998,28 +2000,27 @@ theorem innerₛₗ_apply (v w : E) : innerₛₗ v w = ⟪v, w⟫ :=
 in `inner_product_space.dual` is a version of this given as a linear isometry (resp. linear
 isometric equivalence). -/
 def innerSL : E →L⋆[𝕜] E →L[𝕜] 𝕜 :=
-  LinearMap.mkContinuous₂ innerₛₗ 1 fun x y => by
+  LinearMap.mkContinuous₂ (innerₛₗ 𝕜) 1 fun x y => by
     simp only [norm_inner_le_norm, one_mul, innerₛₗ_apply]
 #align innerSL innerSL
 
 @[simp]
-theorem innerSL_apply_coe (v : E) : (innerSL v : E → 𝕜) = fun w => ⟪v, w⟫ :=
+theorem innerSL_apply_coe (v : E) : ⇑(innerSL 𝕜 v) = fun w => ⟪v, w⟫ :=
   rfl
 #align innerSL_apply_coe innerSL_apply_coe
 
 @[simp]
-theorem innerSL_apply (v w : E) : innerSL v w = ⟪v, w⟫ :=
+theorem innerSL_apply (v w : E) : innerSL 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerSL_apply innerSL_apply
 
 /-- `innerSL` is an isometry. Note that the associated `linear_isometry` is defined in
 `inner_product_space.dual` as `to_dual_map`.  -/
 @[simp]
-theorem innerSL_apply_norm {x : E} : ‖(innerSL x : E →L[𝕜] 𝕜)‖ = ‖x‖ :=
+theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ :=
   by
   refine'
-    le_antisymm
-      ((innerSL x : E →L[𝕜] 𝕜).opNorm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
+    le_antisymm ((innerSL 𝕜 x).opNorm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
   cases' eq_or_lt_of_le (norm_nonneg x) with h h
   · have : x = 0 := norm_eq_zero.mp (Eq.symm h)
     simp [this]
@@ -2028,24 +2029,24 @@ theorem innerSL_apply_norm {x : E} : ‖(innerSL x : E →L[𝕜] 𝕜)‖ = ‖
       ‖x‖ * ‖x‖ = ‖x‖ ^ 2 := by ring
       _ = re ⟪x, x⟫ := (norm_sq_eq_inner _)
       _ ≤ abs ⟪x, x⟫ := (re_le_abs _)
-      _ = ‖innerSL x x‖ := by
-        rw [← IsROrC.norm_eq_abs]
-        rfl
-      _ ≤ ‖innerSL x‖ * ‖x‖ := (innerSL x : E →L[𝕜] 𝕜).le_opNorm _
+      _ = ‖⟪x, x⟫‖ := by rw [← IsROrC.norm_eq_abs]
+      _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_opNorm _
       
 #align innerSL_apply_norm innerSL_apply_norm
 
 /-- The inner product as a continuous sesquilinear map, with the two arguments flipped. -/
 def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
   @ContinuousLinearMap.flipₗᵢ' 𝕜 𝕜 𝕜 E E 𝕜 _ _ _ _ _ _ _ _ _ (RingHom.id 𝕜) (starRingEnd 𝕜) _ _
-    innerSL
+    (innerSL 𝕜)
 #align innerSL_flip innerSLFlip
 
 @[simp]
-theorem innerSLFlip_apply (x y : E) : innerSLFlip x y = ⟪y, x⟫ :=
+theorem innerSLFlip_apply (x y : E) : innerSLFlip 𝕜 x y = ⟪y, x⟫ :=
   rfl
 #align innerSL_flip_apply innerSLFlip_apply
 
+variable {𝕜}
+
 namespace ContinuousLinearMap
 
 variable {E' : Type _} [InnerProductSpace 𝕜 E']
@@ -2054,11 +2055,11 @@ variable {E' : Type _} [InnerProductSpace 𝕜 E']
 as a continuous linear map. -/
 def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=
   ↑(ContinuousLinearMap.flipₗᵢ' E E' 𝕜 (starRingEnd 𝕜) (RingHom.id 𝕜)).toContinuousLinearEquiv ∘L
-    ContinuousLinearMap.compSL E E' (E' →L⋆[𝕜] 𝕜) (RingHom.id 𝕜) (RingHom.id 𝕜) innerSLFlip
+    ContinuousLinearMap.compSL E E' (E' →L⋆[𝕜] 𝕜) (RingHom.id 𝕜) (RingHom.id 𝕜) (innerSLFlip 𝕜)
 #align continuous_linear_map.to_sesq_form ContinuousLinearMap.toSesqForm
 
 @[simp]
-theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (innerSL x).comp f :=
+theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (innerSL 𝕜 x).comp f :=
   rfl
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
 
@@ -2664,7 +2665,7 @@ theorem Submodule.orthogonal_disjoint : Disjoint K Kᗮ := by
 
 /-- `Kᗮ` can be characterized as the intersection of the kernels of the operations of
 inner product with each of the elements of `K`. -/
-theorem orthogonal_eq_inter : Kᗮ = ⨅ v : K, LinearMap.ker (innerSL (v : E) : E →L[𝕜] 𝕜) :=
+theorem orthogonal_eq_inter : Kᗮ = ⨅ v : K, LinearMap.ker (innerSL 𝕜 (v : E)) :=
   by
   apply le_antisymm
   · rw [le_infᵢ_iff]
@@ -2679,7 +2680,7 @@ theorem orthogonal_eq_inter : Kᗮ = ⨅ v : K, LinearMap.ker (innerSL (v : E) :
 theorem Submodule.isClosed_orthogonal : IsClosed (Kᗮ : Set E) :=
   by
   rw [orthogonal_eq_inter K]
-  have := fun v : K => ContinuousLinearMap.isClosed_ker (innerSL (v : E) : E →L[𝕜] 𝕜)
+  have := fun v : K => ContinuousLinearMap.isClosed_ker (innerSL 𝕜 (v : E))
   convert isClosed_interᵢ this
   simp only [Submodule.infᵢ_coe]
 #align submodule.is_closed_orthogonal Submodule.isClosed_orthogonal
@@ -2796,7 +2797,7 @@ theorem inner_coe (a b : E) : inner (a : Completion E) (b : Completion E) = (inn
 protected theorem continuous_inner : Continuous (uncurry inner : Completion E × Completion E → 𝕜) :=
   by
   let inner' : E →+ E →+ 𝕜 :=
-    { toFun := fun x => (innerₛₗ x).toAddMonoidHom
+    { toFun := fun x => (innerₛₗ 𝕜 x).toAddMonoidHom
       map_zero' := by ext x <;> exact inner_zero_left _
       map_add' := fun x y => by ext z <;> exact inner_add_left _ _ _ }
   have : Continuous fun p : E × E => inner' p.1 p.2 := continuous_inner

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 3fc0b254310908f70a1a75f01147d52e53e9f8a2
+! leanprover-community/mathlib commit a37865088599172dc923253bb7b31998297d9c8a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -258,6 +258,10 @@ theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
       exact inner_zero_left _)
 #align inner_product_space.of_core.inner_self_eq_zero InnerProductSpace.OfCore.inner_self_eq_zero
 
+theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
+  inner_self_eq_zero.Not
+#align inner_product_space.of_core.inner_self_ne_zero InnerProductSpace.OfCore.inner_self_ne_zero
+
 theorem inner_self_re_to_K (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_nonneg_im]
 #align inner_product_space.of_core.inner_self_re_to_K InnerProductSpace.OfCore.inner_self_re_to_K
@@ -310,7 +314,7 @@ theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
   · rw [hy]
     simp only [IsROrC.abs_zero, inner_zero_left, MulZeroClass.mul_zero, AddMonoidHom.map_zero]
   · change y ≠ 0 at hy
-    have hy' : ⟪y, y⟫ ≠ 0 := fun h => by rw [inner_self_eq_zero] at h <;> exact hy h
+    have hy' : ⟪y, y⟫ ≠ 0 := inner_self_ne_zero.mpr hy
     set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
     have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm _ _
     have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm _ _
@@ -633,6 +637,10 @@ theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 :=
     exact inner_zero_left _
 #align inner_self_eq_zero inner_self_eq_zero
 
+theorem inner_self_ne_zero {x : E} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
+  inner_self_eq_zero.Not
+#align inner_self_ne_zero inner_self_ne_zero
+
 @[simp]
 theorem inner_self_nonpos {x : E} : re ⟪x, x⟫ ≤ 0 ↔ x = 0 :=
   by
@@ -2215,17 +2223,16 @@ product space structure on each of the submodules is important -- for example, w
 their Hilbert sum (`pi_lp V 2`).  For example, given an orthonormal set of vectors `v : ι → E`,
 we have an associated orthogonal family of one-dimensional subspaces of `E`, which it is convenient
 to be able to discuss using `ι → 𝕜` rather than `Π i : ι, span 𝕜 (v i)`. -/
-def OrthogonalFamily {G : ι → Type _} [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) :
+def OrthogonalFamily (G : ι → Type _) [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) :
     Prop :=
   ∀ ⦃i j⦄, i ≠ j → ∀ v : G i, ∀ w : G j, ⟪V i v, V j w⟫ = 0
 #align orthogonal_family OrthogonalFamily
 
 variable {𝕜} {G : ι → Type _} [∀ i, InnerProductSpace 𝕜 (G i)] {V : ∀ i, G i →ₗᵢ[𝕜] E}
-  (hV : OrthogonalFamily 𝕜 V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
+  (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
-    @OrthogonalFamily 𝕜 _ _ _ _ (fun i : ι => 𝕜) _ fun i =>
-      LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
+    OrthogonalFamily 𝕜 (fun i : ι => 𝕜) fun i => LinearIsometry.toSpanSingleton 𝕜 E (hv.1 i) :=
   fun i j hij a b => by simp [inner_smul_left, inner_smul_right, hv.2 hij]
 #align orthonormal.orthogonal_family Orthonormal.orthogonalFamily
 
@@ -2298,8 +2305,7 @@ theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
 /-- The composition of an orthogonal family of subspaces with an injective function is also an
 orthogonal family. -/
 theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injective f) :
-    OrthogonalFamily 𝕜 fun g : γ => (V (f g) : G (f g) →ₗᵢ[𝕜] E) := fun i j hij v w =>
-  hV (hf.Ne hij) v w
+    OrthogonalFamily 𝕜 (fun g => G (f g)) fun g => V (f g) := fun i j hij v w => hV (hf.Ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
 
 theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
@@ -2403,7 +2409,7 @@ omit hV
 elements each from a different subspace in the family is linearly independent. In particular, the
 pairwise intersections of elements of the family are 0. -/
 theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
-    (hV : @OrthogonalFamily 𝕜 _ _ _ _ (fun i => V i) _ fun i => (V i).subtypeₗᵢ) :
+    (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ) :
     CompleteLattice.Independent V := by
   classical
     apply CompleteLattice.independent_of_dfinsupp_lsum_injective
@@ -2424,7 +2430,7 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 include dec_ι
 
 theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
-    (hV : @OrthogonalFamily 𝕜 _ _ _ _ (fun i => V i) _ fun i => (V i).subtypeₗᵢ)
+    (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
     {v_family : ∀ i, Basis (α i) 𝕜 (V i)} (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 (hV_sum.collectedBasis v_family) := by
@@ -2764,8 +2770,7 @@ theorem Submodule.orthogonal_eq_top_iff : Kᗮ = ⊤ ↔ K = ⊥ :=
 #align submodule.orthogonal_eq_top_iff Submodule.orthogonal_eq_top_iff
 
 theorem Submodule.orthogonalFamily_self :
-    @OrthogonalFamily 𝕜 E _ _ _ (fun b => ((cond b K Kᗮ : Submodule 𝕜 E) : Type _)) _ fun b =>
-      (cond b K Kᗮ).subtypeₗᵢ
+    OrthogonalFamily 𝕜 (fun b => ↥(cond b K Kᗮ)) fun b => (cond b K Kᗮ).subtypeₗᵢ
   | tt, tt => absurd rfl
   | tt, ff => fun _ x y => Submodule.inner_right_of_mem_orthogonal x.Prop y.Prop
   | ff, tt => fun _ x y => Submodule.inner_left_of_mem_orthogonal y.Prop x.Prop

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a313d8bba1bad05faba71a4a4e9742ab5bd9efd

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit 3fc0b254310908f70a1a75f01147d52e53e9f8a2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -114,7 +114,7 @@ To construct a norm from an inner product, see `inner_product_space.of_core`.
 class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] extends NormedAddCommGroup E,
   NormedSpace 𝕜 E, HasInner 𝕜 E where
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
-  conj_sym : ∀ x y, conj (inner y x) = inner x y
+  conj_symm : ∀ x y, conj (inner y x) = inner x y
   add_left : ∀ x y z, inner (x + y) z = inner x z + inner y z
   smul_left : ∀ x y r, inner (r • x) y = conj r * inner x y
 #align inner_product_space InnerProductSpace
@@ -147,7 +147,7 @@ can construct an `inner_product_space` instance in `inner_product_space.of_core`
 structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [IsROrC 𝕜] [AddCommGroup F]
   [Module 𝕜 F] where
   inner : F → F → 𝕜
-  conj_sym : ∀ x y, conj (inner y x) = inner x y
+  conj_symm : ∀ x y, conj (inner y x) = inner x y
   nonneg_re : ∀ x, 0 ≤ re (inner x x)
   definite : ∀ x, inner x x = 0 → x = 0
   add_left : ∀ x y z, inner (x + y) z = inner x z + inner y z
@@ -197,28 +197,28 @@ def normSq (x : F) :=
 -- mathport name: exprnorm_sqF
 local notation "norm_sqF" => @normSq 𝕜 F _ _ _ _
 
-theorem inner_conj_sym (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
-  c.conj_sym x y
-#align inner_product_space.of_core.inner_conj_sym InnerProductSpace.OfCore.inner_conj_sym
+theorem inner_conj_symm (x y : F) : ⟪y, x⟫† = ⟪x, y⟫ :=
+  c.conj_symm x y
+#align inner_product_space.of_core.inner_conj_symm InnerProductSpace.OfCore.inner_conj_symm
 
 theorem inner_self_nonneg {x : F} : 0 ≤ re ⟪x, x⟫ :=
   c.nonneg_re _
 #align inner_product_space.of_core.inner_self_nonneg InnerProductSpace.OfCore.inner_self_nonneg
 
-theorem inner_self_nonneg_im {x : F} : im ⟪x, x⟫ = 0 := by
-  rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_sym]
+theorem inner_self_nonneg_im (x : F) : im ⟪x, x⟫ = 0 := by
+  rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp [inner_conj_symm]
 #align inner_product_space.of_core.inner_self_nonneg_im InnerProductSpace.OfCore.inner_self_nonneg_im
 
-theorem inner_self_im_zero {x : F} : im ⟪x, x⟫ = 0 :=
-  inner_self_nonneg_im
+theorem inner_self_im_zero (x : F) : im ⟪x, x⟫ = 0 :=
+  inner_self_nonneg_im _
 #align inner_product_space.of_core.inner_self_im_zero InnerProductSpace.OfCore.inner_self_im_zero
 
-theorem inner_add_left {x y z : F} : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
+theorem inner_add_left (x y z : F) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   c.add_left _ _ _
 #align inner_product_space.of_core.inner_add_left InnerProductSpace.OfCore.inner_add_left
 
-theorem inner_add_right {x y z : F} : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
-  rw [← inner_conj_sym, inner_add_left, RingHom.map_add] <;> simp only [inner_conj_sym]
+theorem inner_add_right (x y z : F) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ := by
+  rw [← inner_conj_symm, inner_add_left, RingHom.map_add] <;> simp only [inner_conj_symm]
 #align inner_product_space.of_core.inner_add_right InnerProductSpace.OfCore.inner_add_right
 
 theorem inner_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
@@ -227,74 +227,76 @@ theorem inner_normSq_eq_inner_self (x : F) : (norm_sqF x : 𝕜) = ⟪x, x⟫ :=
   exact ⟨by simp only [of_real_re] <;> rfl, by simp only [inner_self_nonneg_im, of_real_im]⟩
 #align inner_product_space.of_core.inner_norm_sq_eq_inner_self InnerProductSpace.OfCore.inner_normSq_eq_inner_self
 
-theorem inner_re_symm {x y : F} : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_sym, conj_re]
+theorem inner_re_symm (x y : F) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_product_space.of_core.inner_re_symm InnerProductSpace.OfCore.inner_re_symm
 
-theorem inner_im_symm {x y : F} : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_sym, conj_im]
+theorem inner_im_symm (x y : F) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_product_space.of_core.inner_im_symm InnerProductSpace.OfCore.inner_im_symm
 
-theorem inner_smul_left {x y : F} {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
+theorem inner_smul_left (x y : F) {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   c.smul_left _ _ _
 #align inner_product_space.of_core.inner_smul_left InnerProductSpace.OfCore.inner_smul_left
 
-theorem inner_smul_right {x y : F} {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
-  rw [← inner_conj_sym, inner_smul_left] <;> simp only [conj_conj, inner_conj_sym, RingHom.map_mul]
+theorem inner_smul_right (x y : F) {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
+  rw [← inner_conj_symm, inner_smul_left] <;>
+    simp only [conj_conj, inner_conj_symm, RingHom.map_mul]
 #align inner_product_space.of_core.inner_smul_right InnerProductSpace.OfCore.inner_smul_right
 
-theorem inner_zero_left {x : F} : ⟪0, x⟫ = 0 := by
+theorem inner_zero_left (x : F) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;>
     simp only [MulZeroClass.zero_mul, RingHom.map_zero]
 #align inner_product_space.of_core.inner_zero_left InnerProductSpace.OfCore.inner_zero_left
 
-theorem inner_zero_right {x : F} : ⟪x, 0⟫ = 0 := by
-  rw [← inner_conj_sym, inner_zero_left] <;> simp only [RingHom.map_zero]
+theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
+  rw [← inner_conj_symm, inner_zero_left] <;> simp only [RingHom.map_zero]
 #align inner_product_space.of_core.inner_zero_right InnerProductSpace.OfCore.inner_zero_right
 
 theorem inner_self_eq_zero {x : F} : ⟪x, x⟫ = 0 ↔ x = 0 :=
   Iff.intro (c.definite _)
     (by
       rintro rfl
-      exact inner_zero_left)
+      exact inner_zero_left _)
 #align inner_product_space.of_core.inner_self_eq_zero InnerProductSpace.OfCore.inner_self_eq_zero
 
-theorem inner_self_re_to_K {x : F} : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
+theorem inner_self_re_to_K (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
   norm_num [ext_iff, inner_self_nonneg_im]
 #align inner_product_space.of_core.inner_self_re_to_K InnerProductSpace.OfCore.inner_self_re_to_K
 
-theorem inner_abs_conj_sym {x y : F} : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_sym, abs_conj]
-#align inner_product_space.of_core.inner_abs_conj_sym InnerProductSpace.OfCore.inner_abs_conj_sym
+theorem inner_abs_conj_symm (x y : F) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by
+  rw [← inner_conj_symm, abs_conj]
+#align inner_product_space.of_core.inner_abs_conj_symm InnerProductSpace.OfCore.inner_abs_conj_symm
 
-theorem inner_neg_left {x y : F} : ⟪-x, y⟫ = -⟪x, y⟫ :=
+theorem inner_neg_left (x y : F) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   by
   rw [← neg_one_smul 𝕜 x, inner_smul_left]
   simp
 #align inner_product_space.of_core.inner_neg_left InnerProductSpace.OfCore.inner_neg_left
 
-theorem inner_neg_right {x y : F} : ⟪x, -y⟫ = -⟪x, y⟫ := by
-  rw [← inner_conj_sym, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_sym]
+theorem inner_neg_right (x y : F) : ⟪x, -y⟫ = -⟪x, y⟫ := by
+  rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_product_space.of_core.inner_neg_right InnerProductSpace.OfCore.inner_neg_right
 
-theorem inner_sub_left {x y z : F} : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
+theorem inner_sub_left (x y z : F) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left, inner_neg_left]
 #align inner_product_space.of_core.inner_sub_left InnerProductSpace.OfCore.inner_sub_left
 
-theorem inner_sub_right {x y z : F} : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
+theorem inner_sub_right (x y z : F) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right, inner_neg_right]
 #align inner_product_space.of_core.inner_sub_right InnerProductSpace.OfCore.inner_sub_right
 
-theorem inner_mul_conj_re_abs {x y : F} : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
+theorem inner_mul_conj_re_abs (x y : F) : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
   by
-  rw [← inner_conj_sym, mul_comm]
+  rw [← inner_conj_symm, mul_comm]
   exact re_eq_abs_of_mul_conj (inner y x)
 #align inner_product_space.of_core.inner_mul_conj_re_abs InnerProductSpace.OfCore.inner_mul_conj_re_abs
 
 /-- Expand `inner (x + y) (x + y)` -/
-theorem inner_add_add_self {x y : F} : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
+theorem inner_add_add_self (x y : F) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_product_space.of_core.inner_add_add_self InnerProductSpace.OfCore.inner_add_add_self
 
 -- Expand `inner (x - y) (x - y)`
-theorem inner_sub_sub_self {x y : F} : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
+theorem inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_product_space.of_core.inner_sub_sub_self InnerProductSpace.OfCore.inner_sub_sub_self
 
@@ -310,8 +312,8 @@ theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
   · change y ≠ 0 at hy
     have hy' : ⟪y, y⟫ ≠ 0 := fun h => by rw [inner_self_eq_zero] at h <;> exact hy h
     set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
-    have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm
-    have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm
+    have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm _ _
+    have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm _ _
     have h₃ : ⟪y, x⟫ * ⟪x, y⟫ * ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = ⟪y, x⟫ * ⟪x, y⟫ / ⟪y, y⟫ :=
       by
       rw [mul_div_assoc]
@@ -336,7 +338,7 @@ theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
         _ = re ⟪x, x⟫ - re (T† * ⟪y, x⟫) - re (T * ⟪x, y⟫) + re (T * T† * ⟪y, y⟫) := by
           simp only [inner_smul_left, inner_smul_right, mul_assoc]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ / ⟪y, y⟫ * ⟪y, x⟫) := by
-          field_simp [-mul_re, inner_conj_sym, hT, map_div₀, h₁, h₃]
+          field_simp [-mul_re, inner_conj_symm, hT, map_div₀, h₁, h₃]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / ⟪y, y⟫) := by rw [← mul_div_right_comm]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / re ⟪y, y⟫) := by conv_lhs => rw [h₄]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫) / re ⟪y, y⟫ := by rw [div_re_of_real]
@@ -363,7 +365,7 @@ theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
 #align inner_product_space.of_core.inner_self_eq_norm_mul_norm InnerProductSpace.OfCore.inner_self_eq_norm_mul_norm
 
-theorem sqrt_normSq_eq_norm {x : F} : sqrt (norm_sqF x) = ‖x‖ :=
+theorem sqrt_normSq_eq_norm (x : F) : sqrt (norm_sqF x) = ‖x‖ :=
   rfl
 #align inner_product_space.of_core.sqrt_norm_sq_eq_norm InnerProductSpace.OfCore.sqrt_normSq_eq_norm
 
@@ -379,7 +381,7 @@ theorem abs_inner_le_norm (x y : F) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
       conv =>
         lhs
         congr
-        rw [inner_abs_conj_sym]
+        rw [inner_abs_conj_symm]
       exact inner_mul_inner_self_le y x)
 #align inner_product_space.of_core.abs_inner_le_norm InnerProductSpace.OfCore.abs_inner_le_norm
 
@@ -394,7 +396,7 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
         have h₁ : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ := abs_inner_le_norm _ _
         have h₂ : re ⟪x, y⟫ ≤ abs ⟪x, y⟫ := re_le_abs _
         have h₃ : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ := by linarith
-        have h₄ : re ⟪y, x⟫ ≤ ‖x‖ * ‖y‖ := by rwa [← inner_conj_sym, conj_re]
+        have h₄ : re ⟪y, x⟫ ≤ ‖x‖ * ‖y‖ := by rwa [← inner_conj_symm, conj_re]
         have : ‖x + y‖ * ‖x + y‖ ≤ (‖x‖ + ‖y‖) * (‖x‖ + ‖y‖) :=
           by
           simp only [← inner_self_eq_norm_mul_norm, inner_add_add_self, mul_add, mul_comm, map_add]
@@ -466,66 +468,66 @@ export InnerProductSpace (norm_sq_eq_inner)
 section BasicProperties
 
 @[simp]
-theorem inner_conj_sym (x y : E) : ⟪y, x⟫† = ⟪x, y⟫ :=
-  InnerProductSpace.conj_sym _ _
-#align inner_conj_sym inner_conj_sym
+theorem inner_conj_symm (x y : E) : ⟪y, x⟫† = ⟪x, y⟫ :=
+  InnerProductSpace.conj_symm _ _
+#align inner_conj_symm inner_conj_symm
 
 theorem real_inner_comm (x y : F) : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ :=
-  @inner_conj_sym ℝ _ _ _ x y
+  @inner_conj_symm ℝ _ _ _ x y
 #align real_inner_comm real_inner_comm
 
-theorem inner_eq_zero_sym {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
-  ⟨fun h => by simp [← inner_conj_sym, h], fun h => by simp [← inner_conj_sym, h]⟩
-#align inner_eq_zero_sym inner_eq_zero_sym
+theorem inner_eq_zero_symm {x y : E} : ⟪x, y⟫ = 0 ↔ ⟪y, x⟫ = 0 :=
+  ⟨fun h => by simp [← inner_conj_symm, h], fun h => by simp [← inner_conj_symm, h]⟩
+#align inner_eq_zero_symm inner_eq_zero_symm
 
 @[simp]
-theorem inner_self_nonneg_im {x : E} : im ⟪x, x⟫ = 0 := by
+theorem inner_self_nonneg_im (x : E) : im ⟪x, x⟫ = 0 := by
   rw [← @of_real_inj 𝕜, im_eq_conj_sub] <;> simp
 #align inner_self_nonneg_im inner_self_nonneg_im
 
-theorem inner_self_im_zero {x : E} : im ⟪x, x⟫ = 0 :=
-  inner_self_nonneg_im
+theorem inner_self_im_zero (x : E) : im ⟪x, x⟫ = 0 :=
+  inner_self_nonneg_im _
 #align inner_self_im_zero inner_self_im_zero
 
-theorem inner_add_left {x y z : E} : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
+theorem inner_add_left (x y z : E) : ⟪x + y, z⟫ = ⟪x, z⟫ + ⟪y, z⟫ :=
   InnerProductSpace.add_left _ _ _
 #align inner_add_left inner_add_left
 
-theorem inner_add_right {x y z : E} : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ :=
+theorem inner_add_right (x y z : E) : ⟪x, y + z⟫ = ⟪x, y⟫ + ⟪x, z⟫ :=
   by
-  rw [← inner_conj_sym, inner_add_left, RingHom.map_add]
-  simp only [inner_conj_sym]
+  rw [← inner_conj_symm, inner_add_left, RingHom.map_add]
+  simp only [inner_conj_symm]
 #align inner_add_right inner_add_right
 
-theorem inner_re_symm {x y : E} : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_sym, conj_re]
+theorem inner_re_symm (x y : E) : re ⟪x, y⟫ = re ⟪y, x⟫ := by rw [← inner_conj_symm, conj_re]
 #align inner_re_symm inner_re_symm
 
-theorem inner_im_symm {x y : E} : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_sym, conj_im]
+theorem inner_im_symm (x y : E) : im ⟪x, y⟫ = -im ⟪y, x⟫ := by rw [← inner_conj_symm, conj_im]
 #align inner_im_symm inner_im_symm
 
-theorem inner_smul_left {x y : E} {r : 𝕜} : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
+theorem inner_smul_left (x y : E) (r : 𝕜) : ⟪r • x, y⟫ = r† * ⟪x, y⟫ :=
   InnerProductSpace.smul_left _ _ _
 #align inner_smul_left inner_smul_left
 
-theorem real_inner_smul_left {x y : F} {r : ℝ} : ⟪r • x, y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
-  inner_smul_left
+theorem real_inner_smul_left (x y : F) (r : ℝ) : ⟪r • x, y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
+  inner_smul_left _ _ _
 #align real_inner_smul_left real_inner_smul_left
 
-theorem inner_smul_real_left {x y : E} {r : ℝ} : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ :=
+theorem inner_smul_real_left (x y : E) (r : ℝ) : ⟪(r : 𝕜) • x, y⟫ = r • ⟪x, y⟫ :=
   by
   rw [inner_smul_left, conj_of_real, Algebra.smul_def]
   rfl
 #align inner_smul_real_left inner_smul_real_left
 
-theorem inner_smul_right {x y : E} {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
-  rw [← inner_conj_sym, inner_smul_left, RingHom.map_mul, conj_conj, inner_conj_sym]
+theorem inner_smul_right (x y : E) (r : 𝕜) : ⟪x, r • y⟫ = r * ⟪x, y⟫ := by
+  rw [← inner_conj_symm, inner_smul_left, RingHom.map_mul, conj_conj, inner_conj_symm]
 #align inner_smul_right inner_smul_right
 
-theorem real_inner_smul_right {x y : F} {r : ℝ} : ⟪x, r • y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
-  inner_smul_right
+theorem real_inner_smul_right (x y : F) (r : ℝ) : ⟪x, r • y⟫_ℝ = r * ⟪x, y⟫_ℝ :=
+  inner_smul_right _ _ _
 #align real_inner_smul_right real_inner_smul_right
 
-theorem inner_smul_real_right {x y : E} {r : ℝ} : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ :=
+theorem inner_smul_real_right (x y : E) (r : ℝ) : ⟪x, (r : 𝕜) • y⟫ = r • ⟪x, y⟫ :=
   by
   rw [inner_smul_right, Algebra.smul_def]
   rfl
@@ -536,8 +538,9 @@ theorem inner_smul_real_right {x y : E} {r : ℝ} : ⟪x, (r : 𝕜) • y⟫ =
 Note that in the case `𝕜 = ℝ` this is a bilinear form. -/
 @[simps]
 def sesqFormOfInner : E →ₗ[𝕜] E →ₗ⋆[𝕜] 𝕜 :=
-  LinearMap.mk₂'ₛₗ (RingHom.id 𝕜) (starRingEnd _) (fun x y => ⟪y, x⟫) (fun x y z => inner_add_right)
-    (fun r x y => inner_smul_right) (fun x y z => inner_add_left) fun r x y => inner_smul_left
+  LinearMap.mk₂'ₛₗ (RingHom.id 𝕜) (starRingEnd _) (fun x y => ⟪y, x⟫)
+    (fun x y z => inner_add_right _ _ _) (fun r x y => inner_smul_right _ _ _)
+    (fun x y z => inner_add_left _ _ _) fun r x y => inner_smul_left _ _ _
 #align sesq_form_of_inner sesqFormOfInner
 
 /-- The real inner product as a bilinear form. -/
@@ -545,10 +548,10 @@ def sesqFormOfInner : E →ₗ[𝕜] E →ₗ⋆[𝕜] 𝕜 :=
 def bilinFormOfRealInner : BilinForm ℝ F
     where
   bilin := inner
-  bilin_add_left x y z := inner_add_left
-  bilin_smul_left a x y := inner_smul_left
-  bilin_add_right x y z := inner_add_right
-  bilin_smul_right a x y := inner_smul_right
+  bilin_add_left := inner_add_left
+  bilin_smul_left a x y := inner_smul_left _ _ _
+  bilin_add_right := inner_add_right
+  bilin_smul_right a x y := inner_smul_right _ _ _
 #align bilin_form_of_real_inner bilinFormOfRealInner
 
 /-- An inner product with a sum on the left. -/
@@ -592,20 +595,20 @@ theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Typ
 #align dfinsupp.inner_sum Dfinsupp.inner_sum
 
 @[simp]
-theorem inner_zero_left {x : E} : ⟪0, x⟫ = 0 := by
+theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, MulZeroClass.zero_mul]
 #align inner_zero_left inner_zero_left
 
-theorem inner_re_zero_left {x : E} : re ⟪0, x⟫ = 0 := by
+theorem inner_re_zero_left (x : E) : re ⟪0, x⟫ = 0 := by
   simp only [inner_zero_left, AddMonoidHom.map_zero]
 #align inner_re_zero_left inner_re_zero_left
 
 @[simp]
-theorem inner_zero_right {x : E} : ⟪x, 0⟫ = 0 := by
-  rw [← inner_conj_sym, inner_zero_left, RingHom.map_zero]
+theorem inner_zero_right (x : E) : ⟪x, 0⟫ = 0 := by
+  rw [← inner_conj_symm, inner_zero_left, RingHom.map_zero]
 #align inner_zero_right inner_zero_right
 
-theorem inner_re_zero_right {x : E} : re ⟪x, 0⟫ = 0 := by
+theorem inner_re_zero_right (x : E) : re ⟪x, 0⟫ = 0 := by
   simp only [inner_zero_right, AddMonoidHom.map_zero]
 #align inner_re_zero_right inner_re_zero_right
 
@@ -627,7 +630,7 @@ theorem inner_self_eq_zero {x : E} : ⟪x, x⟫ = 0 ↔ x = 0 :=
     rw [← norm_eq_zero]
     exact pow_eq_zero h₁
   · rintro rfl
-    exact inner_zero_left
+    exact inner_zero_left _
 #align inner_self_eq_zero inner_self_eq_zero
 
 @[simp]
@@ -651,7 +654,7 @@ theorem real_inner_self_nonpos {x : F} : ⟪x, x⟫_ℝ ≤ 0 ↔ x = 0 :=
 #align real_inner_self_nonpos real_inner_self_nonpos
 
 @[simp]
-theorem inner_self_re_to_K {x : E} : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
+theorem inner_self_re_to_K (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
   IsROrC.ext_iff.2 ⟨by simp only [of_real_re], by simp only [inner_self_nonneg_im, of_real_im]⟩
 #align inner_self_re_to_K inner_self_re_to_K
 
@@ -661,84 +664,85 @@ theorem inner_self_eq_norm_sq_to_K (x : E) : ⟪x, x⟫ = (‖x‖ ^ 2 : 𝕜) :
   exact_mod_cast (norm_sq_eq_inner x).symm
 #align inner_self_eq_norm_sq_to_K inner_self_eq_norm_sq_to_K
 
-theorem inner_self_re_abs {x : E} : re ⟪x, x⟫ = abs ⟪x, x⟫ :=
+theorem inner_self_re_abs (x : E) : re ⟪x, x⟫ = abs ⟪x, x⟫ :=
   by
   conv_rhs => rw [← inner_self_re_to_K]
   symm
   exact IsROrC.abs_of_nonneg inner_self_nonneg
 #align inner_self_re_abs inner_self_re_abs
 
-theorem inner_self_abs_to_K {x : E} : (absK ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
+theorem inner_self_abs_to_K (x : E) : (absK ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
   by
   rw [← inner_self_re_abs]
-  exact inner_self_re_to_K
+  exact inner_self_re_to_K _
 #align inner_self_abs_to_K inner_self_abs_to_K
 
-theorem real_inner_self_abs {x : F} : absR ⟪x, x⟫_ℝ = ⟪x, x⟫_ℝ :=
+theorem real_inner_self_abs (x : F) : absR ⟪x, x⟫_ℝ = ⟪x, x⟫_ℝ :=
   by
   have h := @inner_self_abs_to_K ℝ F _ _ x
   simpa using h
 #align real_inner_self_abs real_inner_self_abs
 
-theorem inner_abs_conj_sym {x y : E} : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by rw [← inner_conj_sym, abs_conj]
-#align inner_abs_conj_sym inner_abs_conj_sym
+theorem inner_abs_conj_symm (x y : E) : abs ⟪x, y⟫ = abs ⟪y, x⟫ := by
+  rw [← inner_conj_symm, abs_conj]
+#align inner_abs_conj_symm inner_abs_conj_symm
 
 @[simp]
-theorem inner_neg_left {x y : E} : ⟪-x, y⟫ = -⟪x, y⟫ :=
+theorem inner_neg_left (x y : E) : ⟪-x, y⟫ = -⟪x, y⟫ :=
   by
   rw [← neg_one_smul 𝕜 x, inner_smul_left]
   simp
 #align inner_neg_left inner_neg_left
 
 @[simp]
-theorem inner_neg_right {x y : E} : ⟪x, -y⟫ = -⟪x, y⟫ := by
-  rw [← inner_conj_sym, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_sym]
+theorem inner_neg_right (x y : E) : ⟪x, -y⟫ = -⟪x, y⟫ := by
+  rw [← inner_conj_symm, inner_neg_left] <;> simp only [RingHom.map_neg, inner_conj_symm]
 #align inner_neg_right inner_neg_right
 
-theorem inner_neg_neg {x y : E} : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
+theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 #align inner_neg_neg inner_neg_neg
 
 @[simp]
-theorem inner_self_conj {x : E} : ⟪x, x⟫† = ⟪x, x⟫ := by
+theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := by
   rw [IsROrC.ext_iff] <;> exact ⟨by rw [conj_re], by rw [conj_im, inner_self_im_zero, neg_zero]⟩
 #align inner_self_conj inner_self_conj
 
-theorem inner_sub_left {x y z : E} : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
+theorem inner_sub_left (x y z : E) : ⟪x - y, z⟫ = ⟪x, z⟫ - ⟪y, z⟫ := by
   simp [sub_eq_add_neg, inner_add_left]
 #align inner_sub_left inner_sub_left
 
-theorem inner_sub_right {x y z : E} : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
+theorem inner_sub_right (x y z : E) : ⟪x, y - z⟫ = ⟪x, y⟫ - ⟪x, z⟫ := by
   simp [sub_eq_add_neg, inner_add_right]
 #align inner_sub_right inner_sub_right
 
-theorem inner_mul_conj_re_abs {x y : E} : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
+theorem inner_mul_conj_re_abs (x y : E) : re (⟪x, y⟫ * ⟪y, x⟫) = abs (⟪x, y⟫ * ⟪y, x⟫) :=
   by
-  rw [← inner_conj_sym, mul_comm]
+  rw [← inner_conj_symm, mul_comm]
   exact re_eq_abs_of_mul_conj (inner y x)
 #align inner_mul_conj_re_abs inner_mul_conj_re_abs
 
 /-- Expand `⟪x + y, x + y⟫` -/
-theorem inner_add_add_self {x y : E} : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
+theorem inner_add_add_self (x y : E) : ⟪x + y, x + y⟫ = ⟪x, x⟫ + ⟪x, y⟫ + ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_add_left, inner_add_right] <;> ring
 #align inner_add_add_self inner_add_add_self
 
 /-- Expand `⟪x + y, x + y⟫_ℝ` -/
-theorem real_inner_add_add_self {x y : F} : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_ℝ + 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
+theorem real_inner_add_add_self (x y : F) : ⟪x + y, x + y⟫_ℝ = ⟪x, x⟫_ℝ + 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
-  have : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_sym] <;> rfl
+  have : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_symm] <;> rfl
   simp only [inner_add_add_self, this, add_left_inj]
   ring
 #align real_inner_add_add_self real_inner_add_add_self
 
 -- Expand `⟪x - y, x - y⟫`
-theorem inner_sub_sub_self {x y : E} : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
+theorem inner_sub_sub_self (x y : E) : ⟪x - y, x - y⟫ = ⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫ := by
   simp only [inner_sub_left, inner_sub_right] <;> ring
 #align inner_sub_sub_self inner_sub_sub_self
 
 /-- Expand `⟪x - y, x - y⟫_ℝ` -/
-theorem real_inner_sub_sub_self {x y : F} : ⟪x - y, x - y⟫_ℝ = ⟪x, x⟫_ℝ - 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
+theorem real_inner_sub_sub_self (x y : F) : ⟪x - y, x - y⟫_ℝ = ⟪x, x⟫_ℝ - 2 * ⟪x, y⟫_ℝ + ⟪y, y⟫_ℝ :=
   by
-  have : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_sym] <;> rfl
+  have : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_symm] <;> rfl
   simp only [inner_sub_sub_self, this, add_left_inj]
   ring
 #align real_inner_sub_sub_self real_inner_sub_sub_self
@@ -773,15 +777,15 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
     simp only [IsROrC.abs_zero, inner_zero_left, MulZeroClass.mul_zero, AddMonoidHom.map_zero]
   · have hy' : ⟪y, y⟫ ≠ 0 := inner_self_eq_zero.not.2 hy
     set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
-    have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm
-    have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm
+    have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm _ _
+    have h₂ : im ⟪y, x⟫ = -im ⟪x, y⟫ := inner_im_symm _ _
     have h₃ : ⟪y, x⟫ * ⟪x, y⟫ * ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = ⟪y, x⟫ * ⟪x, y⟫ / ⟪y, y⟫ :=
       by
       rw [mul_div_assoc]
       have : ⟪y, y⟫ / (⟪y, y⟫ * ⟪y, y⟫) = 1 / ⟪y, y⟫ := by
         rw [div_mul_eq_div_mul_one_div, div_self hy', one_mul]
       rw [this, div_eq_mul_inv, one_mul, ← div_eq_mul_inv]
-    have h₄ : ⟪y, y⟫ = re ⟪y, y⟫ := inner_self_re_to_K.symm
+    have h₄ : ⟪y, y⟫ = re ⟪y, y⟫ := (inner_self_re_to_K _).symm
     have h₅ : re ⟪y, y⟫ > 0 :=
       by
       refine' lt_of_le_of_ne inner_self_nonneg _
@@ -802,7 +806,7 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
           simp (disch :=
             run_tac
               tactic.field_simp.ne_zero) only [map_div₀,
-            h₃, inner_conj_sym, sub_add_cancel, field_simps]
+            h₃, inner_conj_symm, sub_add_cancel, field_simps]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / ⟪y, y⟫) := by rw [← mul_div_right_comm]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫ / re ⟪y, y⟫) := by conv_lhs => rw [h₄]
         _ = re ⟪x, x⟫ - re (⟪x, y⟫ * ⟪y, x⟫) / re ⟪y, y⟫ := by rw [div_re_of_real]
@@ -817,7 +821,7 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
 /-- Cauchy–Schwarz inequality for real inner products. -/
 theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ ≤ ⟪x, x⟫_ℝ * ⟪y, y⟫_ℝ :=
   by
-  have h₁ : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_sym] <;> rfl
+  have h₁ : ⟪y, x⟫_ℝ = ⟪x, y⟫_ℝ := by rw [← inner_conj_symm] <;> rfl
   have h₂ := @inner_mul_inner_self_le ℝ F _ _ x y
   dsimp at h₂
   have h₃ := abs_mul_abs_self ⟪x, y⟫_ℝ
@@ -929,7 +933,7 @@ theorem Orthonormal.inner_right_fintype [Fintype ι] {v : ι → E} (hv : Orthon
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
-    ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = conj (l i) := by rw [← inner_conj_sym, hv.inner_right_finsupp]
+    ⟪Finsupp.total ι E 𝕜 v l, v i⟫ = conj (l i) := by rw [← inner_conj_symm, hv.inner_right_finsupp]
 #align orthonormal.inner_left_finsupp Orthonormal.inner_left_finsupp
 
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
@@ -1146,21 +1150,21 @@ theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
 #align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sq
 
 /-- Expand the square -/
-theorem norm_add_sq {x y : E} : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
+theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
   repeat' rw [sq, ← inner_self_eq_norm_mul_norm]
   rw [inner_add_add_self, two_mul]
   simp only [add_assoc, add_left_inj, add_right_inj, AddMonoidHom.map_add]
-  rw [← inner_conj_sym, conj_re]
+  rw [← inner_conj_symm, conj_re]
 #align norm_add_sq norm_add_sq
 
 alias norm_add_sq ← norm_add_pow_two
 #align norm_add_pow_two norm_add_pow_two
 
 /-- Expand the square -/
-theorem norm_add_sq_real {x y : F} : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
+theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
   by
-  have h := @norm_add_sq ℝ F _ _
+  have h := @norm_add_sq ℝ _ _ _ x y
   simpa using h
 #align norm_add_sq_real norm_add_sq_real
 
@@ -1168,22 +1172,22 @@ alias norm_add_sq_real ← norm_add_pow_two_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
 /-- Expand the square -/
-theorem norm_add_mul_self {x y : E} : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
+theorem norm_add_mul_self (x y : E) : ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by
   repeat' rw [← sq]
-  exact norm_add_sq
+  exact norm_add_sq _ _
 #align norm_add_mul_self norm_add_mul_self
 
 /-- Expand the square -/
-theorem norm_add_mul_self_real {x y : F} :
+theorem norm_add_mul_self_real (x y : F) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
   by
-  have h := @norm_add_mul_self ℝ F _ _
+  have h := @norm_add_mul_self ℝ _ _ _ x y
   simpa using h
 #align norm_add_mul_self_real norm_add_mul_self_real
 
 /-- Expand the square -/
-theorem norm_sub_sq {x y : E} : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
+theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 :=
   by
   repeat' rw [sq, ← inner_self_eq_norm_mul_norm]
   rw [inner_sub_sub_self]
@@ -1191,7 +1195,7 @@ theorem norm_sub_sq {x y : E} : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y
     re (⟪x, x⟫ - ⟪x, y⟫ - ⟪y, x⟫ + ⟪y, y⟫) = re ⟪x, x⟫ - re ⟪x, y⟫ - re ⟪y, x⟫ + re ⟪y, y⟫ := by
       simp only [map_add, map_sub]
     _ = -re ⟪y, x⟫ - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by ring
-    _ = -re (⟪x, y⟫†) - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by rw [inner_conj_sym]
+    _ = -re (⟪x, y⟫†) - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by rw [inner_conj_symm]
     _ = -re ⟪x, y⟫ - re ⟪x, y⟫ + re ⟪x, x⟫ + re ⟪y, y⟫ := by rw [conj_re]
     _ = re ⟪x, x⟫ - 2 * re ⟪x, y⟫ + re ⟪y, y⟫ := by ring
     
@@ -1201,25 +1205,25 @@ alias norm_sub_sq ← norm_sub_pow_two
 #align norm_sub_pow_two norm_sub_pow_two
 
 /-- Expand the square -/
-theorem norm_sub_sq_real {x y : F} : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
-  norm_sub_sq
+theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y⟫_ℝ + ‖y‖ ^ 2 :=
+  norm_sub_sq _ _
 #align norm_sub_sq_real norm_sub_sq_real
 
 alias norm_sub_sq_real ← norm_sub_pow_two_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
 /-- Expand the square -/
-theorem norm_sub_mul_self {x y : E} : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
+theorem norm_sub_mul_self (x y : E) : ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ :=
   by
   repeat' rw [← sq]
-  exact norm_sub_sq
+  exact norm_sub_sq _ _
 #align norm_sub_mul_self norm_sub_mul_self
 
 /-- Expand the square -/
-theorem norm_sub_mul_self_real {x y : F} :
+theorem norm_sub_mul_self_real (x y : F) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * ⟪x, y⟫_ℝ + ‖y‖ * ‖y‖ :=
   by
-  have h := @norm_sub_mul_self ℝ F _ _
+  have h := @norm_sub_mul_self ℝ _ _ _ x y
   simpa using h
 #align norm_sub_mul_self_real norm_sub_mul_self_real
 
@@ -1233,7 +1237,7 @@ theorem abs_inner_le_norm (x y : E) : abs ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
       conv_lhs =>
         congr
         skip
-        rw [inner_abs_conj_sym]
+        rw [inner_abs_conj_symm]
       exact inner_mul_inner_self_le _ _)
 #align abs_inner_le_norm abs_inner_le_norm
 
@@ -1799,7 +1803,7 @@ theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
     symm at h2
     have h₁ : ⟪t, r • x⟫ = 0 :=
       by
-      rw [inner_smul_right, ← inner_conj_sym, ht0]
+      rw [inner_smul_right, ← inner_conj_symm, ht0]
       simp
     rw [add_zero, h₁, add_left_eq_self, add_zero, inner_self_eq_zero] at h2
     rw [h2] at ht
@@ -1968,8 +1972,8 @@ theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset 
 
 /-- The inner product as a sesquilinear map. -/
 def innerₛₗ : E →ₗ⋆[𝕜] E →ₗ[𝕜] 𝕜 :=
-  LinearMap.mk₂'ₛₗ _ _ (fun v w => ⟪v, w⟫) (fun _ _ _ => inner_add_left)
-    (fun _ _ _ => inner_smul_left) (fun _ _ _ => inner_add_right) fun _ _ _ => inner_smul_right
+  LinearMap.mk₂'ₛₗ _ _ (fun v w => ⟪v, w⟫) inner_add_left (fun _ _ _ => inner_smul_left _ _ _)
+    inner_add_right fun _ _ _ => inner_smul_right _ _ _
 #align innerₛₗ innerₛₗ
 
 @[simp]
@@ -2030,7 +2034,7 @@ def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
 #align innerSL_flip innerSLFlip
 
 @[simp]
-theorem innerSLFlip_apply {x y : E} : innerSLFlip x y = ⟪y, x⟫ :=
+theorem innerSLFlip_apply (x y : E) : innerSLFlip x y = ⟪y, x⟫ :=
   rfl
 #align innerSL_flip_apply innerSLFlip_apply
 
@@ -2075,10 +2079,10 @@ instance may be not definitionally equal to some other “natural” instance. S
 -/
 theorem isBoundedBilinearMapInner [NormedSpace ℝ E] :
     IsBoundedBilinearMap ℝ fun p : E × E => ⟪p.1, p.2⟫ :=
-  { add_left := fun _ _ _ => inner_add_left
+  { add_left := inner_add_left
     smul_left := fun r x y => by
       simp only [← algebraMap_smul 𝕜 r x, algebra_map_eq_of_real, inner_smul_real_left]
-    add_right := fun _ _ _ => inner_add_right
+    add_right := inner_add_right
     smul_right := fun r x y => by
       simp only [← algebraMap_smul 𝕜 r y, algebra_map_eq_of_real, inner_smul_real_right]
     bound :=
@@ -2110,9 +2114,9 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
     simp only [norm_nonneg, pow_nonneg]
   rw [norm_sub_sq, sub_add]
   simp only [InnerProductSpace.norm_sq_eq_inner, inner_sum]
-  simp only [sum_inner, two_mul, inner_smul_right, inner_conj_sym, ← mul_assoc, h₂, ← h₃,
-    inner_conj_sym, AddMonoidHom.map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib, inner_smul_left,
-    add_sub_cancel']
+  simp only [sum_inner, two_mul, inner_smul_right, inner_conj_symm, ← mul_assoc, h₂, ← h₃,
+    inner_conj_symm, AddMonoidHom.map_sum, Finset.mul_sum, ← Finset.sum_sub_distrib,
+    inner_smul_left, add_sub_cancel']
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
 
 /-- Bessel's inequality. -/
@@ -2147,7 +2151,7 @@ instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜
   norm_sq_eq_inner x := by
     unfold inner
     rw [mul_comm, mul_conj, of_real_re, norm_sq_eq_def']
-  conj_sym x y := by simp only [mul_comm, map_mul, starRingEnd_self_apply]
+  conj_symm x y := by simp only [mul_comm, map_mul, starRingEnd_self_apply]
   add_left x y z := by simp only [add_mul, map_add]
   smul_left x y z := by simp only [mul_assoc, smul_eq_mul, map_mul]
 #align is_R_or_C.inner_product_space IsROrC.innerProductSpace
@@ -2167,10 +2171,10 @@ instance Submodule.innerProductSpace (W : Submodule 𝕜 E) : InnerProductSpace
       W with
     toNormedAddCommGroup := Submodule.normedAddCommGroup _
     inner := fun x y => ⟪(x : E), (y : E)⟫
-    conj_sym := fun _ _ => inner_conj_sym _ _
+    conj_symm := fun _ _ => inner_conj_symm _ _
     norm_sq_eq_inner := fun _ => norm_sq_eq_inner _
-    add_left := fun _ _ _ => inner_add_left
-    smul_left := fun _ _ _ => inner_smul_left }
+    add_left := fun _ _ _ => inner_add_left _ _ _
+    smul_left := fun _ _ _ => inner_smul_left _ _ _ }
 #align submodule.inner_product_space Submodule.innerProductSpace
 
 /-- The inner product on submodules is the same as on the ambient space. -/
@@ -2452,7 +2456,7 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
       E with
     toNormedAddCommGroup := InnerProductSpace.toNormedAddCommGroup 𝕜
     norm_sq_eq_inner := norm_sq_eq_inner
-    conj_sym := fun x y => inner_re_symm
+    conj_symm := fun x y => inner_re_symm _ _
     add_left := fun x y z => by
       change re ⟪x + y, z⟫ = re ⟪x, z⟫ + re ⟪y, z⟫
       simp only [inner_add_left, map_add]
@@ -2574,7 +2578,7 @@ variable (K : Submodule 𝕜 E)
 def Submodule.orthogonal : Submodule 𝕜 E
     where
   carrier := { v | ∀ u ∈ K, ⟪u, v⟫ = 0 }
-  zero_mem' _ _ := inner_zero_right
+  zero_mem' _ _ := inner_zero_right _
   add_mem' x y hx hy u hu := by rw [inner_add_right, hx u hu, hy u hu, add_zero]
   smul_mem' c x hx u hu := by rw [inner_smul_right, hx u hu, MulZeroClass.mul_zero]
 #align submodule.orthogonal Submodule.orthogonal
@@ -2590,7 +2594,7 @@ theorem Submodule.mem_orthogonal (v : E) : v ∈ Kᗮ ↔ ∀ u ∈ K, ⟪u, v
 /-- When a vector is in `Kᗮ`, with the inner product the
 other way round. -/
 theorem Submodule.mem_orthogonal' (v : E) : v ∈ Kᗮ ↔ ∀ u ∈ K, ⟪v, u⟫ = 0 := by
-  simp_rw [Submodule.mem_orthogonal, inner_eq_zero_sym]
+  simp_rw [Submodule.mem_orthogonal, inner_eq_zero_symm]
 #align submodule.mem_orthogonal' Submodule.mem_orthogonal'
 
 variable {K}
@@ -2602,7 +2606,7 @@ theorem Submodule.inner_right_of_mem_orthogonal {u v : E} (hu : u ∈ K) (hv : v
 
 /-- A vector in `Kᗮ` is orthogonal to one in `K`. -/
 theorem Submodule.inner_left_of_mem_orthogonal {u v : E} (hu : u ∈ K) (hv : v ∈ Kᗮ) : ⟪v, u⟫ = 0 :=
-  by rw [inner_eq_zero_sym] <;> exact Submodule.inner_right_of_mem_orthogonal hu hv
+  by rw [inner_eq_zero_symm] <;> exact Submodule.inner_right_of_mem_orthogonal hu hv
 #align submodule.inner_left_of_mem_orthogonal Submodule.inner_left_of_mem_orthogonal
 
 /-- A vector is in `(𝕜 ∙ u)ᗮ` iff it is orthogonal to `u`. -/
@@ -2617,7 +2621,7 @@ theorem Submodule.mem_orthogonal_singleton_iff_inner_right {u v : E} : v ∈ (
 
 /-- A vector in `(𝕜 ∙ u)ᗮ` is orthogonal to `u`. -/
 theorem Submodule.mem_orthogonal_singleton_iff_inner_left {u v : E} : v ∈ (𝕜 ∙ u)ᗮ ↔ ⟪v, u⟫ = 0 :=
-  by rw [Submodule.mem_orthogonal_singleton_iff_inner_right, inner_eq_zero_sym]
+  by rw [Submodule.mem_orthogonal_singleton_iff_inner_right, inner_eq_zero_symm]
 #align submodule.mem_orthogonal_singleton_iff_inner_left Submodule.mem_orthogonal_singleton_iff_inner_left
 
 theorem Submodule.sub_mem_orthogonal_of_inner_left {x y : E} (h : ∀ v : K, ⟪x, v⟫ = ⟪y, v⟫) :
@@ -2788,8 +2792,8 @@ protected theorem continuous_inner : Continuous (uncurry inner : Completion E ×
   by
   let inner' : E →+ E →+ 𝕜 :=
     { toFun := fun x => (innerₛₗ x).toAddMonoidHom
-      map_zero' := by ext x <;> exact inner_zero_left
-      map_add' := fun x y => by ext z <;> exact inner_add_left }
+      map_zero' := by ext x <;> exact inner_zero_left _
+      map_add' := fun x y => by ext z <;> exact inner_add_left _ _ _ }
   have : Continuous fun p : E × E => inner' p.1 p.2 := continuous_inner
   rw [completion.has_inner, uncurry_curry _]
   change
@@ -2812,11 +2816,11 @@ instance : InnerProductSpace 𝕜 (Completion E)
       (isClosed_eq (continuous_norm.pow 2)
         (continuous_re.comp (Continuous.inner continuous_id' continuous_id')))
       fun a => by simp only [norm_coe, inner_coe, inner_self_eq_norm_sq]
-  conj_sym x y :=
+  conj_symm x y :=
     Completion.induction_on₂ x y
       (isClosed_eq (continuous_conj.comp (Continuous.inner continuous_snd continuous_fst))
         (Continuous.inner continuous_fst continuous_snd))
-      fun a b => by simp only [inner_coe, inner_conj_sym]
+      fun a b => by simp only [inner_coe, inner_conj_symm]
   add_left x y z :=
     Completion.induction_on₃ x y z
       (isClosed_eq

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

@@ -1014,10 +1014,10 @@ theorem orthonormal_subtype_range {v : ι → E} (hv : Function.Injective v) :
 
 /-- If `v : ι → E` is an orthonormal family, then `coe : (range v) → E` is an orthonormal
 family. -/
-theorem Orthonormal.toSubtypeRange {v : ι → E} (hv : Orthonormal 𝕜 v) :
+theorem Orthonormal.to_subtype_range {v : ι → E} (hv : Orthonormal 𝕜 v) :
     Orthonormal 𝕜 (coe : Set.range v → E) :=
   (orthonormal_subtype_range hv.LinearIndependent.Injective).2 hv
-#align orthonormal.to_subtype_range Orthonormal.toSubtypeRange
+#align orthonormal.to_subtype_range Orthonormal.to_subtype_range
 
 /-- A linear combination of some subset of an orthonormal set is orthogonal to other members of the
 set. -/
@@ -1031,7 +1031,7 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
 
 /-- Given an orthonormal family, a second family of vectors is orthonormal if every vector equals
 the corresponding vector in the original family or its negation. -/
-theorem Orthonormal.orthonormalOfForallEqOrEqNeg {v w : ι → E} (hv : Orthonormal 𝕜 v)
+theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
     (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
   classical
     rw [orthonormal_iff_ite] at *
@@ -1039,20 +1039,20 @@ theorem Orthonormal.orthonormalOfForallEqOrEqNeg {v w : ι → E} (hv : Orthonor
     cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
       simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
         neg_eq_zero] using hv i j
-#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormalOfForallEqOrEqNeg
+#align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
 
 /- The material that follows, culminating in the existence of a maximal orthonormal subset, is
 adapted from the corresponding development of the theory of linearly independents sets.  See
 `exists_linear_independent` in particular. -/
 variable (𝕜 E)
 
-theorem orthonormalEmpty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
+theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
   classical simp [orthonormal_subtype_iff_ite]
-#align orthonormal_empty orthonormalEmpty
+#align orthonormal_empty orthonormal_empty
 
 variable {𝕜 E}
 
-theorem orthonormalUnionOfDirected {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
+theorem orthonormal_unionᵢ_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) : Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) :=
   by
   classical
@@ -1062,13 +1062,14 @@ theorem orthonormalUnionOfDirected {η : Type _} {s : η → Set E} (hs : Direct
     have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
     rw [orthonormal_subtype_iff_ite] at h_orth
     exact h_orth x (hik hxi) y (hjk hyj)
-#align orthonormal_Union_of_directed orthonormalUnionOfDirected
+#align orthonormal_Union_of_directed orthonormal_unionᵢ_of_directed
 
-theorem orthonormalSUnionOfDirected {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
+theorem orthonormal_unionₛ_of_directed {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
     (h : ∀ a ∈ s, Orthonormal 𝕜 (fun x => x : (a : Set E) → E)) :
     Orthonormal 𝕜 (fun x => x : ⋃₀ s → E) := by
-  rw [Set.unionₛ_eq_unionᵢ] <;> exact orthonormalUnionOfDirected hs.directed_coe (by simpa using h)
-#align orthonormal_sUnion_of_directed orthonormalSUnionOfDirected
+  rw [Set.unionₛ_eq_unionᵢ] <;>
+    exact orthonormal_unionᵢ_of_directed hs.directed_coe (by simpa using h)
+#align orthonormal_sUnion_of_directed orthonormal_unionₛ_of_directed
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
@@ -1082,7 +1083,7 @@ theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s 
   · refine' ⟨b, sb, bi, _⟩
     exact fun u hus hu => h u hu hus
   · refine' fun c hc cc c0 => ⟨⋃₀ c, _, _⟩
-    · exact orthonormalSUnionOfDirected cc.directed_on fun x xc => hc xc
+    · exact orthonormal_unionₛ_of_directed cc.directed_on fun x xc => hc xc
     · exact fun _ => Set.subset_unionₛ_of_mem
 #align exists_maximal_orthonormal exists_maximal_orthonormal
 
@@ -1475,22 +1476,22 @@ theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜
 #align linear_isometry.orthonormal_comp_iff LinearIsometry.orthonormal_comp_iff
 
 /-- A linear isometry preserves the property of being orthonormal. -/
-theorem Orthonormal.compLinearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
+theorem Orthonormal.comp_linearIsometry {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) := by rwa [f.orthonormal_comp_iff]
-#align orthonormal.comp_linear_isometry Orthonormal.compLinearIsometry
+#align orthonormal.comp_linear_isometry Orthonormal.comp_linearIsometry
 
 /-- A linear isometric equivalence preserves the property of being orthonormal. -/
-theorem Orthonormal.compLinearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
+theorem Orthonormal.comp_linearIsometryEquiv {v : ι → E} (hv : Orthonormal 𝕜 v) (f : E ≃ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) :=
-  hv.compLinearIsometry f.toLinearIsometry
-#align orthonormal.comp_linear_isometry_equiv Orthonormal.compLinearIsometryEquiv
+  hv.comp_linearIsometry f.toLinearIsometry
+#align orthonormal.comp_linear_isometry_equiv Orthonormal.comp_linearIsometryEquiv
 
 /-- A linear isometric equivalence, applied with `basis.map`, preserves the property of being
 orthonormal. -/
-theorem Orthonormal.mapLinearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
+theorem Orthonormal.map_linearIsometryEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     (f : E ≃ₗᵢ[𝕜] E') : Orthonormal 𝕜 (v.map f.toLinearEquiv) :=
-  hv.compLinearIsometryEquiv f
-#align orthonormal.map_linear_isometry_equiv Orthonormal.mapLinearIsometryEquiv
+  hv.comp_linearIsometryEquiv f
+#align orthonormal.map_linear_isometry_equiv Orthonormal.map_linearIsometryEquiv
 
 /-- A linear map that sends an orthonormal basis to orthonormal vectors is a linear isometry. -/
 def LinearMap.isometryOfOrthonormal (f : E →ₗ[𝕜] E') {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
@@ -2183,12 +2184,12 @@ theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
-theorem orthonormalSpan {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
+theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
   hv.codRestrict (Submodule.span 𝕜 (Set.range v)) fun i =>
     Submodule.subset_span (Set.mem_range_self i)
-#align orthonormal_span orthonormalSpan
+#align orthonormal_span orthonormal_span
 
 /-! ### Families of mutually-orthogonal subspaces of an inner product space -/
 
@@ -2297,7 +2298,7 @@ theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injec
   hV (hf.Ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
 
-theorem OrthogonalFamily.orthonormalSigmaOrthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
+theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 fun a : Σi, α i => V a.1 (v_family a.1 a.2) :=
   by
@@ -2312,7 +2313,7 @@ theorem OrthogonalFamily.orthonormalSigmaOrthonormal {α : ι → Type _} {v_fam
       exact hvw rfl
     simpa only [LinearIsometry.inner_map_map] using (hv_family i).2 this
   · exact hV hij (v_family i v) (v_family j w)
-#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormalSigmaOrthonormal
+#align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormal
 
 include dec_ι
 
@@ -2418,13 +2419,13 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 
 include dec_ι
 
-theorem DirectSum.IsInternal.collectedBasisOrthonormal {V : ι → Submodule 𝕜 E}
+theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
     (hV : @OrthogonalFamily 𝕜 _ _ _ _ (fun i => V i) _ fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
     {v_family : ∀ i, Basis (α i) 𝕜 (V i)} (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 (hV_sum.collectedBasis v_family) := by
   simpa only [hV_sum.collected_basis_coe] using hV.orthonormal_sigma_orthonormal hv_family
-#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasisOrthonormal
+#align direct_sum.is_internal.collected_basis_orthonormal DirectSum.IsInternal.collectedBasis_orthonormal
 
 end OrthogonalFamily
 
@@ -2758,14 +2759,14 @@ theorem Submodule.orthogonal_eq_top_iff : Kᗮ = ⊤ ↔ K = ⊥ :=
   rwa [h, inf_comm, top_inf_eq] at this
 #align submodule.orthogonal_eq_top_iff Submodule.orthogonal_eq_top_iff
 
-theorem Submodule.orthogonalFamilySelf :
+theorem Submodule.orthogonalFamily_self :
     @OrthogonalFamily 𝕜 E _ _ _ (fun b => ((cond b K Kᗮ : Submodule 𝕜 E) : Type _)) _ fun b =>
       (cond b K Kᗮ).subtypeₗᵢ
   | tt, tt => absurd rfl
   | tt, ff => fun _ x y => Submodule.inner_right_of_mem_orthogonal x.Prop y.Prop
   | ff, tt => fun _ x y => Submodule.inner_left_of_mem_orthogonal y.Prop x.Prop
   | ff, ff => absurd rfl
-#align submodule.orthogonal_family_self Submodule.orthogonalFamilySelf
+#align submodule.orthogonal_family_self Submodule.orthogonalFamily_self
 
 end Orthogonal
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

@@ -1372,7 +1372,7 @@ theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
         4 :=
   by
   simp only [map_add, map_sub, inner_add_left, inner_add_right, LinearMap.map_smul, inner_smul_left,
-    inner_smul_right, Complex.conj_I, ← pow_two, Complex.i_sq, inner_sub_left, inner_sub_right,
+    inner_smul_right, Complex.conj_I, ← pow_two, Complex.I_sq, inner_sub_left, inner_sub_right,
     mul_add, ← mul_assoc, mul_neg, neg_neg, sub_neg_eq_add, one_mul, neg_one_mul, mul_sub, sub_sub]
   ring
 #align inner_map_polarization inner_map_polarization
@@ -1385,7 +1385,7 @@ theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
         4 :=
   by
   simp only [map_add, map_sub, inner_add_left, inner_add_right, LinearMap.map_smul, inner_smul_left,
-    inner_smul_right, Complex.conj_I, ← pow_two, Complex.i_sq, inner_sub_left, inner_sub_right,
+    inner_smul_right, Complex.conj_I, ← pow_two, Complex.I_sq, inner_sub_left, inner_sub_right,
     mul_add, ← mul_assoc, mul_neg, neg_neg, sub_neg_eq_add, one_mul, neg_one_mul, mul_sub, sub_sub]
   ring
 #align inner_map_polarization' inner_map_polarization'

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -242,7 +242,8 @@ theorem inner_smul_right {x y : F} {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y
 #align inner_product_space.of_core.inner_smul_right InnerProductSpace.OfCore.inner_smul_right
 
 theorem inner_zero_left {x : F} : ⟪0, x⟫ = 0 := by
-  rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;> simp only [zero_mul, RingHom.map_zero]
+  rw [← zero_smul 𝕜 (0 : F), inner_smul_left] <;>
+    simp only [MulZeroClass.zero_mul, RingHom.map_zero]
 #align inner_product_space.of_core.inner_zero_left InnerProductSpace.OfCore.inner_zero_left
 
 theorem inner_zero_right {x : F} : ⟪x, 0⟫ = 0 := by
@@ -305,7 +306,7 @@ theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
   by
   by_cases hy : y = 0
   · rw [hy]
-    simp only [IsROrC.abs_zero, inner_zero_left, mul_zero, AddMonoidHom.map_zero]
+    simp only [IsROrC.abs_zero, inner_zero_left, MulZeroClass.mul_zero, AddMonoidHom.map_zero]
   · change y ≠ 0 at hy
     have hy' : ⟪y, y⟫ ≠ 0 := fun h => by rw [inner_self_eq_zero] at h <;> exact hy h
     set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
@@ -592,7 +593,7 @@ theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Typ
 
 @[simp]
 theorem inner_zero_left {x : E} : ⟪0, x⟫ = 0 := by
-  rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, zero_mul]
+  rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, MulZeroClass.zero_mul]
 #align inner_zero_left inner_zero_left
 
 theorem inner_re_zero_left {x : E} : re ⟪0, x⟫ = 0 := by
@@ -769,7 +770,7 @@ theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
   by
   by_cases hy : y = 0
   · rw [hy]
-    simp only [IsROrC.abs_zero, inner_zero_left, mul_zero, AddMonoidHom.map_zero]
+    simp only [IsROrC.abs_zero, inner_zero_left, MulZeroClass.mul_zero, AddMonoidHom.map_zero]
   · have hy' : ⟪y, y⟫ ≠ 0 := inner_self_eq_zero.not.2 hy
     set T := ⟪y, x⟫ / ⟪y, y⟫ with hT
     have h₁ : re ⟪y, x⟫ = re ⟪x, y⟫ := inner_re_symm
@@ -838,7 +839,7 @@ theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type _} {v : ι →
     convert Finset.sum_eq_single i _ _
     · rw [inner_smul_right]
     · intro j hj hji
-      rw [inner_smul_right, ho i j hji.symm, mul_zero]
+      rw [inner_smul_right, ho i j hji.symm, MulZeroClass.mul_zero]
     · exact fun h => False.elim (h hi)
   simpa [hg, hz] using h'
 #align linear_independent_of_ne_zero_of_inner_eq_zero linearIndependent_of_ne_zero_of_inner_eq_zero
@@ -1793,7 +1794,7 @@ theorem abs_inner_div_norm_mul_norm_eq_one_iff (x y : E) :
       have h2' := congr_arg (fun z : ℝ => (z : 𝕜)) h2
       simp_rw [inner_self_re_to_K, inner_add_add_self] at h2'
       exact h2'
-    conv at h2 in ⟪r • x, t⟫ => rw [inner_smul_left, ht0, mul_zero]
+    conv at h2 in ⟪r • x, t⟫ => rw [inner_smul_left, ht0, MulZeroClass.mul_zero]
     symm at h2
     have h₁ : ⟪t, r • x⟫ = 0 :=
       by
@@ -1959,9 +1960,9 @@ theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset 
   simp_rw [sum_inner, inner_sum, real_inner_smul_left, real_inner_smul_right,
     real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, ← div_sub_div_same,
     ← div_add_div_same, mul_sub_left_distrib, left_distrib, Finset.sum_sub_distrib,
-    Finset.sum_add_distrib, ← Finset.mul_sum, ← Finset.sum_mul, h₁, h₂, zero_mul, mul_zero,
-    Finset.sum_const_zero, zero_add, zero_sub, Finset.mul_sum, neg_div, Finset.sum_div,
-    mul_div_assoc, mul_assoc]
+    Finset.sum_add_distrib, ← Finset.mul_sum, ← Finset.sum_mul, h₁, h₂, MulZeroClass.zero_mul,
+    MulZeroClass.mul_zero, Finset.sum_const_zero, zero_add, zero_sub, Finset.mul_sum, neg_div,
+    Finset.sum_div, mul_div_assoc, mul_assoc]
 #align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zero
 
 /-- The inner product as a sesquilinear map. -/
@@ -2574,7 +2575,7 @@ def Submodule.orthogonal : Submodule 𝕜 E
   carrier := { v | ∀ u ∈ K, ⟪u, v⟫ = 0 }
   zero_mem' _ _ := inner_zero_right
   add_mem' x y hx hy u hu := by rw [inner_add_right, hx u hu, hy u hu, add_zero]
-  smul_mem' c x hx u hu := by rw [inner_smul_right, hx u hu, mul_zero]
+  smul_mem' c x hx u hu := by rw [inner_smul_right, hx u hu, MulZeroClass.mul_zero]
 #align submodule.orthogonal Submodule.orthogonal
 
 -- mathport name: «expr ᗮ»

mathlib commit https://github.com/leanprover-community/mathlib/commit/ddec54a71a0dd025c05445d467f1a2b7d586a3ba

@@ -1366,12 +1366,12 @@ variable {V : Type _} [InnerProductSpace ℂ V]
 theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
     ⟪T y, x⟫_ℂ =
       (⟪T (x + y), x + y⟫_ℂ - ⟪T (x - y), x - y⟫_ℂ +
-            Complex.i * ⟪T (x + Complex.i • y), x + Complex.i • y⟫_ℂ -
-          Complex.i * ⟪T (x - Complex.i • y), x - Complex.i • y⟫_ℂ) /
+            Complex.I * ⟪T (x + Complex.I • y), x + Complex.I • y⟫_ℂ -
+          Complex.I * ⟪T (x - Complex.I • y), x - Complex.I • y⟫_ℂ) /
         4 :=
   by
   simp only [map_add, map_sub, inner_add_left, inner_add_right, LinearMap.map_smul, inner_smul_left,
-    inner_smul_right, Complex.conj_i, ← pow_two, Complex.i_sq, inner_sub_left, inner_sub_right,
+    inner_smul_right, Complex.conj_I, ← pow_two, Complex.i_sq, inner_sub_left, inner_sub_right,
     mul_add, ← mul_assoc, mul_neg, neg_neg, sub_neg_eq_add, one_mul, neg_one_mul, mul_sub, sub_sub]
   ring
 #align inner_map_polarization inner_map_polarization
@@ -1379,12 +1379,12 @@ theorem inner_map_polarization (T : V →ₗ[ℂ] V) (x y : V) :
 theorem inner_map_polarization' (T : V →ₗ[ℂ] V) (x y : V) :
     ⟪T x, y⟫_ℂ =
       (⟪T (x + y), x + y⟫_ℂ - ⟪T (x - y), x - y⟫_ℂ -
-            Complex.i * ⟪T (x + Complex.i • y), x + Complex.i • y⟫_ℂ +
-          Complex.i * ⟪T (x - Complex.i • y), x - Complex.i • y⟫_ℂ) /
+            Complex.I * ⟪T (x + Complex.I • y), x + Complex.I • y⟫_ℂ +
+          Complex.I * ⟪T (x - Complex.I • y), x - Complex.I • y⟫_ℂ) /
         4 :=
   by
   simp only [map_add, map_sub, inner_add_left, inner_add_right, LinearMap.map_smul, inner_smul_left,
-    inner_smul_right, Complex.conj_i, ← pow_two, Complex.i_sq, inner_sub_left, inner_sub_right,
+    inner_smul_right, Complex.conj_I, ← pow_two, Complex.i_sq, inner_sub_left, inner_sub_right,
     mul_add, ← mul_assoc, mul_neg, neg_neg, sub_neg_eq_add, one_mul, neg_one_mul, mul_sub, sub_sub]
   ring
 #align inner_map_polarization' inner_map_polarization'

mathlib commit https://github.com/leanprover-community/mathlib/commit/ddec54a71a0dd025c05445d467f1a2b7d586a3ba

@@ -2005,7 +2005,7 @@ theorem innerSL_apply_norm {x : E} : ‖(innerSL x : E →L[𝕜] 𝕜)‖ = ‖
   by
   refine'
     le_antisymm
-      ((innerSL x : E →L[𝕜] 𝕜).op_norm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
+      ((innerSL x : E →L[𝕜] 𝕜).opNorm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
   cases' eq_or_lt_of_le (norm_nonneg x) with h h
   · have : x = 0 := norm_eq_zero.mp (Eq.symm h)
     simp [this]
@@ -2017,7 +2017,7 @@ theorem innerSL_apply_norm {x : E} : ‖(innerSL x : E →L[𝕜] 𝕜)‖ = ‖
       _ = ‖innerSL x x‖ := by
         rw [← IsROrC.norm_eq_abs]
         rfl
-      _ ≤ ‖innerSL x‖ * ‖x‖ := (innerSL x : E →L[𝕜] 𝕜).le_op_norm _
+      _ ≤ ‖innerSL x‖ * ‖x‖ := (innerSL x : E →L[𝕜] 𝕜).le_opNorm _
       
 #align innerSL_apply_norm innerSL_apply_norm
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

@@ -349,7 +349,7 @@ theorem inner_mul_inner_self_le (x y : F) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤
 
 /-- Norm constructed from a `inner_product_space.core` structure, defined to be the square root
 of the scalar product. -/
-def toHasNorm : HasNorm F where norm x := sqrt (re ⟪x, x⟫)
+def toHasNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
 #align inner_product_space.of_core.to_has_norm InnerProductSpace.OfCore.toHasNorm
 
 attribute [local instance] to_has_norm

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -763,7 +763,7 @@ theorem parallelogram_law {x y : E} : ⟪x + y, x + y⟫ + ⟪x - y, x - y⟫ =
   simp [inner_add_add_self, inner_sub_sub_self, two_mul, sub_eq_add_neg, add_comm, add_left_comm]
 #align parallelogram_law parallelogram_law
 
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:72:18: unsupported non-interactive tactic tactic.field_simp.ne_zero -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:69:18: unsupported non-interactive tactic tactic.field_simp.ne_zero -/
 /-- Cauchy–Schwarz inequality. This proof follows "Proof 2" on Wikipedia. -/
 theorem inner_mul_inner_self_le (x y : E) : abs ⟪x, y⟫ * abs ⟪y, x⟫ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ :=
   by
@@ -1069,8 +1069,8 @@ theorem orthonormalSUnionOfDirected {s : Set (Set E)} (hs : DirectedOn (· ⊆ 
   rw [Set.unionₛ_eq_unionᵢ] <;> exact orthonormalUnionOfDirected hs.directed_coe (by simpa using h)
 #align orthonormal_sUnion_of_directed orthonormalSUnionOfDirected
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (w «expr ⊇ » s) -/
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (u «expr ⊇ » w) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (w «expr ⊇ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊇ » w) -/
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/
 theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (coe : s → E)) :
@@ -1330,11 +1330,11 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
         sqrt (‖(R / ‖x‖) ^ 2 • x - (R / ‖y‖) ^ 2 • y‖ ^ 2) :=
       by rw [dist_eq_norm, sqrt_sq (norm_nonneg _)]
     _ = sqrt ((R ^ 2 / (‖x‖ * ‖y‖)) ^ 2 * ‖x - y‖ ^ 2) :=
-      congr_arg sqrt <|
+      (congr_arg sqrt <|
         by
         field_simp [sq, norm_sub_mul_self_real, norm_smul, real_inner_smul_left, inner_smul_right,
           Real.norm_of_nonneg (mul_self_nonneg _)]
-        ring
+        ring)
     _ = R ^ 2 / (‖x‖ * ‖y‖) * dist x y := by
       rw [sqrt_mul (sq_nonneg _), sqrt_sq (norm_nonneg _),
         sqrt_sq (div_nonneg (sq_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _))),
@@ -2012,8 +2012,8 @@ theorem innerSL_apply_norm {x : E} : ‖(innerSL x : E →L[𝕜] 𝕜)‖ = ‖
   · refine' (mul_le_mul_right h).mp _
     calc
       ‖x‖ * ‖x‖ = ‖x‖ ^ 2 := by ring
-      _ = re ⟪x, x⟫ := norm_sq_eq_inner _
-      _ ≤ abs ⟪x, x⟫ := re_le_abs _
+      _ = re ⟪x, x⟫ := (norm_sq_eq_inner _)
+      _ ≤ abs ⟪x, x⟫ := (re_le_abs _)
       _ = ‖innerSL x x‖ := by
         rw [← IsROrC.norm_eq_abs]
         rfl
@@ -2056,7 +2056,7 @@ theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm
   have h₂ := @norm_inner_le_norm 𝕜 E' _ _ v (f x)
   calc
     ‖⟪v, f x⟫‖ ≤ ‖v‖ * ‖f x‖ := h₂
-    _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := mul_le_mul_of_nonneg_left h₁ (norm_nonneg v)
+    _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := (mul_le_mul_of_nonneg_left h₁ (norm_nonneg v))
     _ = ‖f‖ * ‖v‖ * ‖x‖ := by ring
     
 #align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_le
@@ -2241,7 +2241,7 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
     ⟪V i v, l.Sum fun j => V j⟫ = l.Sum fun j => fun w => ⟪V i v, V j w⟫ :=
       Dfinsupp.inner_sum (fun j => V j) l (V i v)
     _ = l.Sum fun j => fun w => ite (i = j) ⟪V i v, V j w⟫ 0 :=
-      congr_arg l.Sum <| funext fun j => funext <| hV.eq_ite v
+      (congr_arg l.Sum <| funext fun j => funext <| hV.eq_ite v)
     _ = ⟪v, l i⟫ :=
       by
       simp only [Dfinsupp.sum, Submodule.coe_inner, Finset.sum_ite_eq, ite_eq_left_iff,
@@ -2259,7 +2259,7 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
   classical calc
       ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
       _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
-        congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j)
+        (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
       _ = ⟪v, l i⟫ := by
         simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
       

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

There is a technical issue: I need to register two local instances to be even able to state the norm estimates. The issue is typeclass inference getting stuck in complicated types of linear maps...

@@ -1805,6 +1805,9 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ := by
 set_option linter.uppercaseLean3 false in
 #align innerSL_apply_norm innerSL_apply_norm
 
+lemma norm_innerSL_le : ‖innerSL 𝕜 (E := E)‖ ≤ 1 :=
+  ContinuousLinearMap.opNorm_le_bound _ zero_le_one (by simp)
+
 /-- The inner product as a continuous sesquilinear map, with the two arguments flipped. -/
 def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
   @ContinuousLinearMap.flipₗᵢ' 𝕜 𝕜 𝕜 E E 𝕜 _ _ _ _ _ _ _ _ _ (RingHom.id 𝕜) (starRingEnd 𝕜) _ _

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

@@ -1403,7 +1403,7 @@ theorem Orthonormal.equiv_apply {ι' : Type*} {v : Basis ι 𝕜 E} (hv : Orthon
 theorem Orthonormal.equiv_refl {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v) :
     hv.equiv hv (Equiv.refl ι) = LinearIsometryEquiv.refl 𝕜 E :=
   v.ext_linearIsometryEquiv fun i => by
-    simp only [Orthonormal.equiv_apply, Equiv.coe_refl, id.def, LinearIsometryEquiv.coe_refl]
+    simp only [Orthonormal.equiv_apply, Equiv.coe_refl, id, LinearIsometryEquiv.coe_refl]
 #align orthonormal.equiv_refl Orthonormal.equiv_refl
 
 @[simp]

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -355,7 +355,7 @@ theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
   nonneg_le_nonneg_of_sq_le_sq (mul_nonneg (sqrt_nonneg _) (sqrt_nonneg _)) <|
     calc
       ‖⟪x, y⟫‖ * ‖⟪x, y⟫‖ = ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ := by rw [norm_inner_symm]
-      _ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := (inner_mul_inner_self_le x y)
+      _ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := inner_mul_inner_self_le x y
       _ = ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) := by simp only [inner_self_eq_norm_mul_norm]; ring
 #align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_norm
 
@@ -1607,7 +1607,7 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
   calc
     ‖⟪x, y⟫‖ = ‖x‖ * ‖y‖ ↔ x = 0 ∨ ∃ r : 𝕜, y = r • x :=
       (@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 2
-    _ ↔ ∃ r : 𝕜, y = r • x := (or_iff_right hx₀)
+    _ ↔ ∃ r : 𝕜, y = r • x := or_iff_right hx₀
     _ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
       ⟨fun ⟨r, h⟩ => ⟨r, fun hr₀ => hy₀ <| h.symm ▸ smul_eq_zero.2 <| Or.inl hr₀, h⟩,
         fun ⟨r, _hr₀, h⟩ => ⟨r, h⟩⟩
@@ -1848,7 +1848,7 @@ theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm
   have h₂ := @norm_inner_le_norm 𝕜 E' _ _ _ v (f x)
   calc
     ‖⟪v, f x⟫‖ ≤ ‖v‖ * ‖f x‖ := h₂
-    _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := (mul_le_mul_of_nonneg_left h₁ (norm_nonneg v))
+    _ ≤ ‖v‖ * (‖f‖ * ‖x‖) := mul_le_mul_of_nonneg_left h₁ (norm_nonneg v)
     _ = ‖f‖ * ‖v‖ * ‖x‖ := by ring
 
 #align continuous_linear_map.to_sesq_form_apply_norm_le ContinuousLinearMap.toSesqForm_apply_norm_le

This adds the notation √r for Real.sqrt r. The precedence is such that √x⁻¹ is parsed as √(x⁻¹); not because this is particularly desirable, but because it's the default and the choice doesn't really matter.

This is extracted from #7907, which adds a more general nth root typeclass. The idea is to perform all the boring substitutions downstream quickly, so that we can play around with custom elaborators with a much slower rate of code-rot. This PR also won't rot as quickly, as it does not forbid writing x.sqrt as that PR does.

While perhaps claiming √ for Real.sqrt is greedy; it:

• Is far more common thatn NNReal.sqrt and Nat.sqrt
• Is far more interesting to mathlib than sqrt on Float
• Can be overloaded anyway, so this does not prevent downstream code using the notation on their own types.
• Will be replaced by a more general typeclass in a future PR.

Zulip

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

@@ -335,21 +335,19 @@ theorem inner_mul_inner_self_le (x y : F) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖
 
 /-- Norm constructed from an `InnerProductSpace.Core` structure, defined to be the square root
 of the scalar product. -/
-def toNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
+def toNorm : Norm F where norm x := √(re ⟪x, x⟫)
 #align inner_product_space.core.to_has_norm InnerProductSpace.Core.toNorm
 
 attribute [local instance] toNorm
 
-theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
-  rfl
+theorem norm_eq_sqrt_inner (x : F) : ‖x‖ = √(re ⟪x, x⟫) := rfl
 #align inner_product_space.core.norm_eq_sqrt_inner InnerProductSpace.Core.norm_eq_sqrt_inner
 
 theorem inner_self_eq_norm_mul_norm (x : F) : re ⟪x, x⟫ = ‖x‖ * ‖x‖ := by
   rw [norm_eq_sqrt_inner, ← sqrt_mul inner_self_nonneg (re ⟪x, x⟫), sqrt_mul_self inner_self_nonneg]
 #align inner_product_space.core.inner_self_eq_norm_mul_norm InnerProductSpace.Core.inner_self_eq_norm_mul_norm
 
-theorem sqrt_normSq_eq_norm (x : F) : sqrt (normSqF x) = ‖x‖ :=
-  rfl
+theorem sqrt_normSq_eq_norm (x : F) : √(normSqF x) = ‖x‖ := rfl
 #align inner_product_space.core.sqrt_norm_sq_eq_norm InnerProductSpace.Core.sqrt_normSq_eq_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
@@ -364,7 +362,7 @@ theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
 /-- Normed group structure constructed from an `InnerProductSpace.Core` structure -/
 def toNormedAddCommGroup : NormedAddCommGroup F :=
   AddGroupNorm.toNormedAddCommGroup
-    { toFun := fun x => sqrt (re ⟪x, x⟫)
+    { toFun := fun x => √(re ⟪x, x⟫)
       map_zero' := by simp only [sqrt_zero, inner_zero_right, map_zero]
       neg' := fun x => by simp only [inner_neg_left, neg_neg, inner_neg_right]
       add_le' := fun x y => by
@@ -406,7 +404,7 @@ def InnerProductSpace.ofCore [AddCommGroup F] [Module 𝕜 F] (c : InnerProductS
   letI : NormedSpace 𝕜 F := @InnerProductSpace.Core.toNormedSpace 𝕜 F _ _ _ c
   { c with
     norm_sq_eq_inner := fun x => by
-      have h₁ : ‖x‖ ^ 2 = sqrt (re (c.inner x x)) ^ 2 := rfl
+      have h₁ : ‖x‖ ^ 2 = √(re (c.inner x x)) ^ 2 := rfl
       have h₂ : 0 ≤ re (c.inner x x) := InnerProductSpace.Core.inner_self_nonneg
       simp [h₁, sq_sqrt, h₂] }
 #align inner_product_space.of_core InnerProductSpace.ofCore
@@ -981,14 +979,13 @@ end OrthonormalSets
 
 section Norm
 
-theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = sqrt (re ⟪x, x⟫) :=
+theorem norm_eq_sqrt_inner (x : E) : ‖x‖ = √(re ⟪x, x⟫) :=
   calc
-    ‖x‖ = sqrt (‖x‖ ^ 2) := (sqrt_sq (norm_nonneg _)).symm
-    _ = sqrt (re ⟪x, x⟫) := congr_arg _ (norm_sq_eq_inner _)
-
+    ‖x‖ = √(‖x‖ ^ 2) := (sqrt_sq (norm_nonneg _)).symm
+    _ = √(re ⟪x, x⟫) := congr_arg _ (norm_sq_eq_inner _)
 #align norm_eq_sqrt_inner norm_eq_sqrt_inner
 
-theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = sqrt ⟪x, x⟫_ℝ :=
+theorem norm_eq_sqrt_real_inner (x : F) : ‖x‖ = √⟪x, x⟫_ℝ :=
   @norm_eq_sqrt_inner ℝ _ _ _ _ x
 #align norm_eq_sqrt_real_inner norm_eq_sqrt_real_inner
 
@@ -1167,9 +1164,9 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
   have hy' : ‖y‖ ≠ 0 := norm_ne_zero_iff.2 hy
   calc
     dist ((R / ‖x‖) ^ 2 • x) ((R / ‖y‖) ^ 2 • y) =
-        sqrt (‖(R / ‖x‖) ^ 2 • x - (R / ‖y‖) ^ 2 • y‖ ^ 2) := by
+        √(‖(R / ‖x‖) ^ 2 • x - (R / ‖y‖) ^ 2 • y‖ ^ 2) := by
       rw [dist_eq_norm, sqrt_sq (norm_nonneg _)]
-    _ = sqrt ((R ^ 2 / (‖x‖ * ‖y‖)) ^ 2 * ‖x - y‖ ^ 2) :=
+    _ = √((R ^ 2 / (‖x‖ * ‖y‖)) ^ 2 * ‖x - y‖ ^ 2) :=
       congr_arg sqrt <| by
         field_simp [sq, norm_sub_mul_self_real, norm_smul, real_inner_smul_left, inner_smul_right,
           Real.norm_of_nonneg (mul_self_nonneg _)]
@@ -1182,7 +1179,7 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
 instance (priority := 100) InnerProductSpace.toUniformConvexSpace : UniformConvexSpace F :=
   ⟨fun ε hε => by
     refine'
-      ⟨2 - sqrt (4 - ε ^ 2), sub_pos_of_lt <| (sqrt_lt' zero_lt_two).2 _, fun x hx y hy hxy => _⟩
+      ⟨2 - √(4 - ε ^ 2), sub_pos_of_lt <| (sqrt_lt' zero_lt_two).2 _, fun x hx y hy hxy => _⟩
     · norm_num
       exact pow_pos hε _
     rw [sub_sub_cancel]
@@ -1457,7 +1454,7 @@ theorem norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
 
 /-- Pythagorean theorem, if-and-if vector inner product form using square roots. -/
 theorem norm_add_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
-    ‖x + y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
+    ‖x + y‖ = √(‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
   rw [← norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, eq_comm,
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_add_eq_sqrt_iff_real_inner_eq_zero norm_add_eq_sqrt_iff_real_inner_eq_zero
@@ -1488,7 +1485,7 @@ theorem norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero (x y : F) :
 /-- Pythagorean theorem, subtracting vectors, if-and-if vector inner product form using square
 roots. -/
 theorem norm_sub_eq_sqrt_iff_real_inner_eq_zero {x y : F} :
-    ‖x - y‖ = sqrt (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
+    ‖x - y‖ = √(‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) ↔ ⟪x, y⟫_ℝ = 0 := by
   rw [← norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, eq_comm,
     sqrt_eq_iff_mul_self_eq (add_nonneg (mul_self_nonneg _) (mul_self_nonneg _)) (norm_nonneg _)]
 #align norm_sub_eq_sqrt_iff_real_inner_eq_zero norm_sub_eq_sqrt_iff_real_inner_eq_zero
@@ -2128,7 +2125,7 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
       refine' (abs_sub _ _).trans_lt _
       have : ∀ i, 0 ≤ ‖f i‖ ^ 2 := fun i : ι => sq_nonneg _
       simp only [Finset.abs_sum_of_nonneg' this]
-      have : ((∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2) < sqrt ε ^ 2 := by
+      have : ((∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2) < √ε ^ 2 := by
         rw [← hV.norm_sq_diff_sum, sq_lt_sq, abs_of_nonneg (sqrt_nonneg _),
           abs_of_nonneg (norm_nonneg _)]
         exact H s₁ hs₁ s₂ hs₂

@@ -185,7 +185,7 @@ local notation "ext_iff" => @RCLike.ext_iff 𝕜 _
 local postfix:90 "†" => starRingEnd _
 
 /-- Inner product defined by the `InnerProductSpace.Core` structure. We can't reuse
-`inner_product_space.core.to_has_inner` because it takes `InnerProductSpace.Core` as an explicit
+`InnerProductSpace.Core.toInner` because it takes `InnerProductSpace.Core` as an explicit
 argument. -/
 def toInner' : Inner 𝕜 F :=
   c.toInner

We already have the fderiv versions.

@@ -1821,6 +1821,11 @@ theorem innerSLFlip_apply (x y : E) : innerSLFlip 𝕜 x y = ⟪y, x⟫ :=
 set_option linter.uppercaseLean3 false in
 #align innerSL_flip_apply innerSLFlip_apply
 
+variable (F) in
+@[simp] lemma innerSL_real_flip : (innerSL ℝ (E := F)).flip = innerSL ℝ := by
+  ext v w
+  exact real_inner_comm _ _
+
 variable {𝕜}
 
 namespace ContinuousLinearMap

@@ -1643,7 +1643,7 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_iff (x y : F) :
 theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
     ⟪x, y⟫ = (‖x‖ : 𝕜) * ‖y‖ ↔ (‖y‖ / ‖x‖ : 𝕜) • x = y := by
   have h₀' := h₀
-  rw [← norm_ne_zero_iff, Ne.def, ← @ofReal_eq_zero 𝕜] at h₀'
+  rw [← norm_ne_zero_iff, Ne, ← @ofReal_eq_zero 𝕜] at h₀'
   constructor <;> intro h
   · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
       ((@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
@@ -1662,7 +1662,7 @@ theorem inner_eq_norm_mul_iff {x y : E} :
   rcases eq_or_ne x 0 with (rfl | h₀)
   · simp
   · rw [inner_eq_norm_mul_iff_div h₀, div_eq_inv_mul, mul_smul, inv_smul_eq_iff₀]
-    rwa [Ne.def, ofReal_eq_zero, norm_eq_zero]
+    rwa [Ne, ofReal_eq_zero, norm_eq_zero]
 #align inner_eq_norm_mul_iff inner_eq_norm_mul_iff
 
 /-- If the inner product of two vectors is equal to the product of their norms (i.e.,

IsROrC contains data, which goes against the expectation that classes prefixed with Is are prop-valued. People have been complaining about this on and off, so this PR renames IsROrC to RCLike.

@@ -21,7 +21,7 @@ define Hilbert spaces, but they can be obtained using the set of assumptions
 An inner product space is a vector space endowed with an inner product. It generalizes the notion of
 dot product in `ℝ^n` and provides the means of defining the length of a vector and the angle between
 two vectors. In particular vectors `x` and `y` are orthogonal if their inner product equals zero.
-We define both the real and complex cases at the same time using the `IsROrC` typeclass.
+We define both the real and complex cases at the same time using the `RCLike` typeclass.
 
 This file proves general results on inner product spaces. For the specific construction of an inner
 product structure on `n → 𝕜` for `𝕜 = ℝ` or `ℂ`, see `EuclideanSpace` in
@@ -31,7 +31,7 @@ product structure on `n → 𝕜` for `𝕜 = ℝ` or `ℂ`, see `EuclideanSpace
 
 - We define the class `InnerProductSpace 𝕜 E` extending `NormedSpace 𝕜 E` with a number of basic
   properties, most notably the Cauchy-Schwarz inequality. Here `𝕜` is understood to be either `ℝ`
-  or `ℂ`, through the `IsROrC` typeclass.
+  or `ℂ`, through the `RCLike` typeclass.
 - We show that the inner product is continuous, `continuous_inner`, and bundle it as the
   continuous sesquilinear map `innerSL` (see also `innerₛₗ` for the non-continuous version).
 - We define `Orthonormal`, a predicate on a function `v : ι → E`, and prove the existence of a
@@ -66,13 +66,13 @@ The Coq code is available at the following address: <http://www.lri.fr/~sboldo/e
 
 noncomputable section
 
-open IsROrC Real Filter
+open RCLike Real Filter
 
 open BigOperators Topology ComplexConjugate
 
 open LinearMap (BilinForm)
 
-variable {𝕜 E F : Type*} [IsROrC 𝕜]
+variable {𝕜 E F : Type*} [RCLike 𝕜]
 
 /-- Syntactic typeclass for types endowed with an inner product -/
 class Inner (𝕜 E : Type*) where
@@ -102,7 +102,7 @@ spaces.
 
 To construct a norm from an inner product, see `InnerProductSpace.ofCore`.
 -/
-class InnerProductSpace (𝕜 : Type*) (E : Type*) [IsROrC 𝕜] [NormedAddCommGroup E] extends
+class InnerProductSpace (𝕜 : Type*) (E : Type*) [RCLike 𝕜] [NormedAddCommGroup E] extends
   NormedSpace 𝕜 E, Inner 𝕜 E where
   /-- The inner product induces the norm. -/
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
@@ -136,7 +136,7 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 /-- A structure requiring that a scalar product is positive definite and symmetric, from which one
 can construct an `InnerProductSpace` instance in `InnerProductSpace.ofCore`. -/
 -- @[nolint HasNonemptyInstance] porting note: I don't think we have this linter anymore
-structure InnerProductSpace.Core (𝕜 : Type*) (F : Type*) [IsROrC 𝕜] [AddCommGroup F]
+structure InnerProductSpace.Core (𝕜 : Type*) (F : Type*) [RCLike 𝕜] [AddCommGroup F]
   [Module 𝕜 F] extends Inner 𝕜 F where
   /-- The inner product is *hermitian*, taking the `conj` swaps the arguments. -/
   conj_symm : ∀ x y, conj (inner y x) = inner x y
@@ -176,11 +176,11 @@ variable [AddCommGroup F] [Module 𝕜 F] [c : InnerProductSpace.Core 𝕜 F]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 F _ x y
 
-local notation "normSqK" => @IsROrC.normSq 𝕜 _
+local notation "normSqK" => @RCLike.normSq 𝕜 _
 
-local notation "reK" => @IsROrC.re 𝕜 _
+local notation "reK" => @RCLike.re 𝕜 _
 
-local notation "ext_iff" => @IsROrC.ext_iff 𝕜 _
+local notation "ext_iff" => @RCLike.ext_iff 𝕜 _
 
 local postfix:90 "†" => starRingEnd _
 
@@ -315,7 +315,7 @@ theorem cauchy_schwarz_aux (x y : F) :
   rw [← @ofReal_inj 𝕜, ofReal_normSq_eq_inner_self]
   simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, conj_ofReal, mul_sub, ←
     ofReal_normSq_eq_inner_self x, ← ofReal_normSq_eq_inner_self y]
-  rw [← mul_assoc, mul_conj, IsROrC.conj_mul, mul_left_comm, ← inner_conj_symm y, mul_conj]
+  rw [← mul_assoc, mul_conj, RCLike.conj_mul, mul_left_comm, ← inner_conj_symm y, mul_conj]
   push_cast
   ring
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
@@ -386,9 +386,9 @@ attribute [local instance] toNormedAddCommGroup
 def toNormedSpace : NormedSpace 𝕜 F where
   norm_smul_le r x := by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
-    rw [IsROrC.conj_mul, ← ofReal_pow, re_ofReal_mul, sqrt_mul, ← ofReal_normSq_eq_inner_self,
+    rw [RCLike.conj_mul, ← ofReal_pow, re_ofReal_mul, sqrt_mul, ← ofReal_normSq_eq_inner_self,
       ofReal_re]
-    · simp [sqrt_normSq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
+    · simp [sqrt_normSq_eq_norm, RCLike.sqrt_normSq_eq_norm]
     · positivity
 #align inner_product_space.core.to_normed_space InnerProductSpace.Core.toNormedSpace
 
@@ -421,7 +421,7 @@ variable [NormedAddCommGroup F] [InnerProductSpace ℝ F]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
-local notation "IK" => @IsROrC.I 𝕜 _
+local notation "IK" => @RCLike.I 𝕜 _
 
 local postfix:90 "†" => starRingEnd _
 
@@ -571,7 +571,7 @@ theorem real_inner_self_nonneg {x : F} : 0 ≤ ⟪x, x⟫_ℝ :=
 
 @[simp]
 theorem inner_self_ofReal_re (x : E) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ :=
-  ((IsROrC.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
+  ((RCLike.is_real_TFAE (⟪x, x⟫ : 𝕜)).out 2 3).2 (inner_self_im _)
 set_option linter.uppercaseLean3 false in
 #align inner_self_re_to_K inner_self_ofReal_re
 
@@ -1857,7 +1857,7 @@ end ContinuousLinearMap
 product satisfies `IsBoundedBilinearMap`.
 
 In order to state these results, we need a `NormedSpace ℝ E` instance. We will later establish
-such an instance by restriction-of-scalars, `InnerProductSpace.isROrCToReal 𝕜 E`, but this
+such an instance by restriction-of-scalars, `InnerProductSpace.rclikeToReal 𝕜 E`, but this
 instance may be not definitionally equal to some other “natural” instance. So, we assume
 `[NormedSpace ℝ E]`.
 -/
@@ -1924,19 +1924,19 @@ theorem Orthonormal.inner_products_summable (hv : Orthonormal 𝕜 v) :
 
 end BesselsInequality
 
-/-- A field `𝕜` satisfying `IsROrC` is itself a `𝕜`-inner product space. -/
-instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜 where
+/-- A field `𝕜` satisfying `RCLike` is itself a `𝕜`-inner product space. -/
+instance RCLike.innerProductSpace : InnerProductSpace 𝕜 𝕜 where
   inner x y := conj x * y
   norm_sq_eq_inner x := by simp only [inner, conj_mul, ← ofReal_pow, ofReal_re]
   conj_symm x y := by simp only [mul_comm, map_mul, starRingEnd_self_apply]
   add_left x y z := by simp only [add_mul, map_add]
   smul_left x y z := by simp only [mul_assoc, smul_eq_mul, map_mul]
-#align is_R_or_C.inner_product_space IsROrC.innerProductSpace
+#align is_R_or_C.inner_product_space RCLike.innerProductSpace
 
 @[simp]
-theorem IsROrC.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
+theorem RCLike.inner_apply (x y : 𝕜) : ⟪x, y⟫ = conj x * y :=
   rfl
-#align is_R_or_C.inner_apply IsROrC.inner_apply
+#align is_R_or_C.inner_apply RCLike.inner_apply
 
 /-! ### Inner product space structure on subspaces -/
 
@@ -2183,22 +2183,22 @@ theorem DirectSum.IsInternal.collectedBasis_orthonormal [DecidableEq ι] {V : ι
 
 end OrthogonalFamily
 
-section IsROrCToReal
+section RCLikeToReal
 
 variable {G : Type*}
 variable (𝕜 E)
 
 /-- A general inner product implies a real inner product. This is not registered as an instance
 since it creates problems with the case `𝕜 = ℝ`. -/
-def Inner.isROrCToReal : Inner ℝ E where inner x y := re ⟪x, y⟫
-#align has_inner.is_R_or_C_to_real Inner.isROrCToReal
+def Inner.rclikeToReal : Inner ℝ E where inner x y := re ⟪x, y⟫
+#align has_inner.is_R_or_C_to_real Inner.rclikeToReal
 
 /-- A general inner product space structure implies a real inner product structure. This is not
 registered as an instance since it creates problems with the case `𝕜 = ℝ`, but in can be used in a
 proof to obtain a real inner product space structure from a given `𝕜`-inner product space
 structure. -/
-def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
-  { Inner.isROrCToReal 𝕜 E,
+def InnerProductSpace.rclikeToReal : InnerProductSpace ℝ E :=
+  { Inner.rclikeToReal 𝕜 E,
     NormedSpace.restrictScalars ℝ 𝕜
       E with
     norm_sq_eq_inner := norm_sq_eq_inner
@@ -2209,17 +2209,17 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
     smul_left := fun x y r => by
       change re ⟪(r : 𝕜) • x, y⟫ = r * re ⟪x, y⟫
       simp only [inner_smul_left, conj_ofReal, re_ofReal_mul] }
-#align inner_product_space.is_R_or_C_to_real InnerProductSpace.isROrCToReal
+#align inner_product_space.is_R_or_C_to_real InnerProductSpace.rclikeToReal
 
 variable {E}
 
 theorem real_inner_eq_re_inner (x y : E) :
-    @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x y = re ⟪x, y⟫ :=
+    @Inner.inner ℝ E (Inner.rclikeToReal 𝕜 E) x y = re ⟪x, y⟫ :=
   rfl
 #align real_inner_eq_re_inner real_inner_eq_re_inner
 
 theorem real_inner_I_smul_self (x : E) :
-    @Inner.inner ℝ E (Inner.isROrCToReal 𝕜 E) x ((I : 𝕜) • x) = 0 := by
+    @Inner.inner ℝ E (Inner.rclikeToReal 𝕜 E) x ((I : 𝕜) • x) = 0 := by
   simp [real_inner_eq_re_inner 𝕜, inner_smul_right]
 set_option linter.uppercaseLean3 false in
 #align real_inner_I_smul_self real_inner_I_smul_self
@@ -2227,7 +2227,7 @@ set_option linter.uppercaseLean3 false in
 /-- A complex inner product implies a real inner product -/
 instance InnerProductSpace.complexToReal [NormedAddCommGroup G] [InnerProductSpace ℂ G] :
     InnerProductSpace ℝ G :=
-  InnerProductSpace.isROrCToReal ℂ G
+  InnerProductSpace.rclikeToReal ℂ G
 #align inner_product_space.complex_to_real InnerProductSpace.complexToReal
 
 @[simp]
@@ -2241,7 +2241,7 @@ theorem inner_map_complex [NormedAddCommGroup G] [InnerProductSpace ℝ G] (f :
     (x y : G) : ⟪x, y⟫_ℝ = (conj (f x) * f y).re := by rw [← Complex.inner, f.inner_map_map]
 #align inner_map_complex inner_map_complex
 
-end IsROrCToReal
+end RCLikeToReal
 
 section Continuous
 
@@ -2251,7 +2251,7 @@ section Continuous
 
 
 theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
-  letI : InnerProductSpace ℝ E := InnerProductSpace.isROrCToReal 𝕜 E
+  letI : InnerProductSpace ℝ E := InnerProductSpace.rclikeToReal 𝕜 E
   isBoundedBilinearMap_inner.continuous
 #align continuous_inner continuous_inner
 

(In fact, this is every use of classical! in Mathlib.)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -777,7 +777,7 @@ theorem orthonormal_subtype_iff_ite [DecidableEq E] {s : Set E} :
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
     ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by
-  classical!
+  classical
   simpa [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv] using Eq.symm
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 
@@ -785,7 +785,7 @@ theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
     {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by
-  classical!
+  classical
   simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 
@@ -806,7 +806,7 @@ theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
     {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by
-  classical!
+  classical
   simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
     Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
@@ -847,7 +847,7 @@ sum of the weights.
 -/
 theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv : Orthonormal 𝕜 v)
     {a : ι → ι → 𝕜} : (∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫) = ∑ k in s, a k k := by
-  classical!
+  classical
   simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 
@@ -865,7 +865,7 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type*} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
     (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
-  classical!
+  classical
   rw [orthonormal_iff_ite] at hv ⊢
   intro i j
   convert hv (f i) (f j) using 1
@@ -902,7 +902,7 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
 the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
     (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
-  classical!
+  classical
   rw [orthonormal_iff_ite] at *
   intro i j
   cases' hw i with hi hi <;> cases' hw j with hj hj <;>
@@ -917,7 +917,7 @@ adapted from the corresponding development of the theory of linearly independent
 variable (𝕜 E)
 
 theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
-  classical!
+  classical
   simp [orthonormal_subtype_iff_ite]
 #align orthonormal_empty orthonormal_empty
 
@@ -926,7 +926,7 @@ variable {𝕜 E}
 theorem orthonormal_iUnion_of_directed {η : Type*} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) :
     Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) := by
-  classical!
+  classical
   rw [orthonormal_subtype_iff_ite]
   rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
   obtain ⟨k, hik, hjk⟩ := hs i j
@@ -2029,7 +2029,7 @@ theorem OrthogonalFamily.inner_right_dfinsupp [DecidableEq ι] (l : ⨁ i, G i)
 
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
-  classical!
+  classical
   calc
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
     _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
@@ -2040,7 +2040,7 @@ theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i :
 
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
-  classical!
+  classical
   calc
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
       by simp only [_root_.sum_inner, _root_.inner_sum]
@@ -2158,7 +2158,7 @@ pairwise intersections of elements of the family are 0. -/
 theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ) :
     CompleteLattice.Independent V := by
-  classical!
+  classical
   apply CompleteLattice.independent_of_dfinsupp_lsum_injective
   refine LinearMap.ker_eq_bot.mp ?_
   rw [Submodule.eq_bot_iff]

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

| Statement | New name | Old name | |

@@ -1547,8 +1547,8 @@ theorem norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : E} {r
   have hx' : ‖x‖ ≠ 0 := by simp [hx]
   have hr' : ‖r‖ ≠ 0 := by simp [hr]
   rw [inner_smul_right, norm_mul, ← inner_self_re_eq_norm, inner_self_eq_norm_mul_norm, norm_smul]
-  rw [← mul_assoc, ← div_div, mul_div_cancel _ hx', ← div_div, mul_comm, mul_div_cancel _ hr',
-    div_self hx']
+  rw [← mul_assoc, ← div_div, mul_div_cancel_right₀ _ hx', ← div_div, mul_comm,
+    mul_div_cancel_right₀ _ hr', div_self hx']
 #align norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul
 
 /-- The inner product of a nonzero vector with a nonzero multiple of
@@ -1648,7 +1648,7 @@ theorem inner_eq_norm_mul_iff_div {x y : E} (h₀ : x ≠ 0) :
   · have : x = 0 ∨ y = (⟪x, y⟫ / ⟪x, x⟫ : 𝕜) • x :=
       ((@norm_inner_eq_norm_tfae 𝕜 _ _ _ _ x y).out 0 1).1 (by simp [h])
     rw [this.resolve_left h₀, h]
-    simp [norm_smul, inner_self_ofReal_norm, mul_div_cancel _ h₀']
+    simp [norm_smul, inner_self_ofReal_norm, mul_div_cancel_right₀ _ h₀']
   · conv_lhs => rw [← h, inner_smul_right, inner_self_eq_norm_sq_to_K]
     field_simp [sq, mul_left_comm]
 #align inner_eq_norm_mul_iff_div inner_eq_norm_mul_iff_div
@@ -1897,7 +1897,7 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
   rw [@norm_sub_sq 𝕜, sub_add]
   simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, _root_.inner_sum, _root_.sum_inner]
   simp only [inner_smul_right, two_mul, inner_smul_left, inner_conj_symm, ← mul_assoc, h₂,
-    add_sub_cancel, sub_right_inj]
+    add_sub_cancel_right, sub_right_inj]
   simp only [map_sum, ← inner_conj_symm x, ← h₃]
 
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -417,7 +417,6 @@ end
 
 
 variable [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
-
 variable [NormedAddCommGroup F] [InnerProductSpace ℝ F]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
@@ -1251,9 +1250,7 @@ end Complex
 section
 
 variable {ι : Type*} {ι' : Type*} {ι'' : Type*}
-
 variable {E' : Type*} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
-
 variable {E'' : Type*} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
 /-- A linear isometry preserves the inner product. -/
@@ -2189,7 +2186,6 @@ end OrthogonalFamily
 section IsROrCToReal
 
 variable {G : Type*}
-
 variable (𝕜 E)
 
 /-- A general inner product implies a real inner product. This is not registered as an instance

This constructs a group isomorphism unitary (H →L[𝕜] H) ≃⋆ (H ≃ₗᵢ[𝕜] H) where H is a Hilbert space. In addition, several lemmas are provided for convenience concerning unitary operators.

@@ -1305,6 +1305,12 @@ theorem LinearEquiv.isometryOfInner_toLinearEquiv (f : E ≃ₗ[𝕜] E') (h) :
   rfl
 #align linear_equiv.isometry_of_inner_to_linear_equiv LinearEquiv.isometryOfInner_toLinearEquiv
 
+/-- A linear map is an isometry if and it preserves the inner product. -/
+theorem LinearMap.norm_map_iff_inner_map_map {F : Type*} [FunLike F E E'] [LinearMapClass F 𝕜 E E']
+    (f : F) : (∀ x, ‖f x‖ = ‖x‖) ↔ (∀ x y, ⟪f x, f y⟫_𝕜 = ⟪x, y⟫_𝕜) :=
+  ⟨({ toLinearMap := LinearMapClass.linearMap f, norm_map' := · : E →ₗᵢ[𝕜] E' }.inner_map_map),
+    (LinearMapClass.linearMap f |>.isometryOfInner · |>.norm_map)⟩
+
 /-- A linear isometry preserves the property of being orthonormal. -/
 theorem LinearIsometry.orthonormal_comp_iff {v : ι → E} (f : E →ₗᵢ[𝕜] E') :
     Orthonormal 𝕜 (f ∘ v) ↔ Orthonormal 𝕜 v := by

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -632,7 +632,7 @@ theorem inner_neg_right (x y : E) : ⟪x, -y⟫ = -⟪x, y⟫ := by
 theorem inner_neg_neg (x y : E) : ⟪-x, -y⟫ = ⟪x, y⟫ := by simp
 #align inner_neg_neg inner_neg_neg
 
--- porting note: removed `simp` because it can prove it using `inner_conj_symm`
+-- Porting note: removed `simp` because it can prove it using `inner_conj_symm`
 theorem inner_self_conj (x : E) : ⟪x, x⟫† = ⟪x, x⟫ := inner_conj_symm _ _
 #align inner_self_conj inner_self_conj
 

Replaces BilinForm with LinearMap.BilinForm in support of #10553

Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -8,7 +8,6 @@ import Mathlib.Analysis.Complex.Basic
 import Mathlib.Analysis.Convex.Uniform
 import Mathlib.Analysis.NormedSpace.Completion
 import Mathlib.Analysis.NormedSpace.BoundedLinearMaps
-import Mathlib.LinearAlgebra.BilinearForm.Basic
 
 #align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
 
@@ -71,6 +70,8 @@ open IsROrC Real Filter
 
 open BigOperators Topology ComplexConjugate
 
+open LinearMap (BilinForm)
+
 variable {𝕜 E F : Type*} [IsROrC 𝕜]
 
 /-- Syntactic typeclass for types endowed with an inner product -/
@@ -498,14 +499,11 @@ def sesqFormOfInner : E →ₗ[𝕜] E →ₗ⋆[𝕜] 𝕜 :=
     (fun _x _y _z => inner_add_left _ _ _) fun _r _x _y => inner_smul_left _ _ _
 #align sesq_form_of_inner sesqFormOfInner
 
-/-- The real inner product as a bilinear form. -/
-@[simps]
-def bilinFormOfRealInner : BilinForm ℝ F where
-  bilin := inner
-  bilin_add_left := inner_add_left
-  bilin_smul_left _a _x _y := inner_smul_left _ _ _
-  bilin_add_right := inner_add_right
-  bilin_smul_right _a _x _y := inner_smul_right _ _ _
+/-- The real inner product as a bilinear form.
+
+Note that unlike `sesqFormOfInner`, this does not reverse the order of the arguments. -/
+@[simps!]
+def bilinFormOfRealInner : BilinForm ℝ F := sesqFormOfInner.flip
 #align bilin_form_of_real_inner bilinFormOfRealInner
 
 /-- An inner product with a sum on the left. -/

Also extend the notation 𝓕 for the Fourier transform to inner product spaces, introduce a notation 𝓕⁻ for the inverse Fourier transform, and generalize a few results from the real line to inner product spaces.

@@ -1270,6 +1270,11 @@ theorem LinearIsometryEquiv.inner_map_map (f : E ≃ₗᵢ[𝕜] E') (x y : E) :
   f.toLinearIsometry.inner_map_map x y
 #align linear_isometry_equiv.inner_map_map LinearIsometryEquiv.inner_map_map
 
+/-- The adjoint of a linear isometric equivalence is its inverse. -/
+theorem LinearIsometryEquiv.inner_map_eq_flip (f : E ≃ₗᵢ[𝕜] E') (x : E) (y : E') :
+    ⟪f x, y⟫_𝕜 = ⟪x, f.symm y⟫_𝕜 := by
+  conv_lhs => rw [← f.apply_symm_apply y, f.inner_map_map]
+
 /-- A linear map that preserves the inner product is a linear isometry. -/
 def LinearMap.isometryOfInner (f : E →ₗ[𝕜] E') (h : ∀ x y, ⟪f x, f y⟫ = ⟪x, y⟫) : E →ₗᵢ[𝕜] E' :=
   ⟨f, fun x => by simp only [@norm_eq_sqrt_inner 𝕜, h]⟩
@@ -1753,6 +1758,18 @@ theorem innerₛₗ_apply (v w : E) : innerₛₗ 𝕜 v w = ⟪v, w⟫ :=
   rfl
 #align innerₛₗ_apply innerₛₗ_apply
 
+variable (F)
+/-- The inner product as a bilinear map in the real case. -/
+def innerₗ : F →ₗ[ℝ] F →ₗ[ℝ] ℝ := innerₛₗ ℝ
+
+@[simp] lemma flip_innerₗ : (innerₗ F).flip = innerₗ F := by
+  ext v w
+  exact real_inner_comm v w
+
+variable {F}
+
+@[simp] lemma innerₗ_apply (v w : F) : innerₗ F v w = ⟪v, w⟫_ℝ := rfl
+
 /-- The inner product as a continuous sesquilinear map. Note that `toDualMap` (resp. `toDual`)
 in `InnerProductSpace.Dual` is a version of this given as a linear isometry (resp. linear
 isometric equivalence). -/

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2074,7 +2074,7 @@ theorem OrthogonalFamily.norm_sq_diff_sum [DecidableEq ι] (f : ∀ i, G i) (s
   have hF₂ : ∀ i ∈ s₂ \ s₁, F i = -f i := fun i hi => if_neg (Finset.mem_sdiff.mp hi).2
   have hF : ∀ i, ‖F i‖ = ‖f i‖ := by
     intro i
-    dsimp only
+    dsimp only [F]
     split_ifs <;> simp only [eq_self_iff_true, norm_neg]
   have :
     ‖(∑ i in s₁ \ s₂, V i (F i)) + ∑ i in s₂ \ s₁, V i (F i)‖ ^ 2 =

Use Lean 4 syntax fun x ↦ instead, matching the style guide. This is close to exhaustive for doc comments; mathlib has about 460 remaining uses of λ (not all in Lean 3 syntax).

@@ -2270,7 +2270,8 @@ end Continuous
 
 section ReApplyInnerSelf
 
-/-- Extract a real bilinear form from an operator `T`, by taking the pairing `λ x, re ⟪T x, x⟫`. -/
+/-- Extract a real bilinear form from an operator `T`,
+by taking the pairing `fun x ↦ re ⟪T x, x⟫`. -/
 def ContinuousLinearMap.reApplyInnerSelf (T : E →L[𝕜] E) (x : E) : ℝ :=
   re ⟪T x, x⟫
 #align continuous_linear_map.re_apply_inner_self ContinuousLinearMap.reApplyInnerSelf

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -1715,8 +1715,7 @@ theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖
 /-- The sphere of radius `r = ‖y‖` is tangent to the plane `⟪x, y⟫ = ‖y‖ ^ 2` at `x = y`. -/
 theorem eq_of_norm_le_re_inner_eq_norm_sq {x y : E} (hle : ‖x‖ ≤ ‖y‖) (h : re ⟪x, y⟫ = ‖y‖ ^ 2) :
     x = y := by
-  suffices H : re ⟪x - y, x - y⟫ ≤ 0
-  · rwa [inner_self_nonpos, sub_eq_zero] at H
+  suffices H : re ⟪x - y, x - y⟫ ≤ 0 by rwa [inner_self_nonpos, sub_eq_zero] at H
   have H₁ : ‖x‖ ^ 2 ≤ ‖y‖ ^ 2 := by gcongr
   have H₂ : re ⟪y, x⟫ = ‖y‖ ^ 2 := by rwa [← inner_conj_symm, conj_re]
   simpa [inner_sub_left, inner_sub_right, ← norm_sq_eq_inner, h, H₂] using H₁
@@ -1874,15 +1873,14 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
     intro z
     simp only [mul_conj, normSq_eq_def']
     norm_cast
-  suffices hbf : ‖x - ∑ i in s, ⟪v i, x⟫ • v i‖ ^ 2 = ‖x‖ ^ 2 - ∑ i in s, ‖⟪v i, x⟫‖ ^ 2
-  · rw [← sub_nonneg, ← hbf]
+  suffices hbf : ‖x - ∑ i in s, ⟪v i, x⟫ • v i‖ ^ 2 = ‖x‖ ^ 2 - ∑ i in s, ‖⟪v i, x⟫‖ ^ 2 by
+    rw [← sub_nonneg, ← hbf]
     simp only [norm_nonneg, pow_nonneg]
   rw [@norm_sub_sq 𝕜, sub_add]
-  classical
-    simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, _root_.inner_sum, _root_.sum_inner]
-    simp only [inner_smul_right, two_mul, inner_smul_left, inner_conj_symm, ← mul_assoc, h₂,
-      add_sub_cancel, sub_right_inj]
-    simp only [map_sum, ← inner_conj_symm x, ← h₃]
+  simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, _root_.inner_sum, _root_.sum_inner]
+  simp only [inner_smul_right, two_mul, inner_smul_left, inner_conj_symm, ← mul_assoc, h₂,
+    add_sub_cancel, sub_right_inj]
+  simp only [map_sum, ← inner_conj_symm x, ← h₃]
 
 #align orthonormal.sum_inner_products_le Orthonormal.sum_inner_products_le
 

@@ -1179,7 +1179,6 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
         ring
     _ = R ^ 2 / (‖x‖ * ‖y‖) * dist x y := by
       rw [sqrt_mul, sqrt_sq, sqrt_sq, dist_eq_norm] <;> positivity
-
 #align dist_div_norm_sq_smul dist_div_norm_sq_smul
 
 -- See note [lower instance priority]

@@ -419,8 +419,6 @@ variable [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 variable [NormedAddCommGroup F] [InnerProductSpace ℝ F]
 
-variable [dec_E : DecidableEq E]
-
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
 local notation "IK" => @IsROrC.I 𝕜 _
@@ -536,13 +534,13 @@ theorem Finsupp.inner_sum {ι : Type*} (l : ι →₀ 𝕜) (v : ι → E) (x :
   simp only [inner_smul_right, Finsupp.sum, smul_eq_mul]
 #align finsupp.inner_sum Finsupp.inner_sum
 
-theorem DFinsupp.sum_inner {ι : Type*} [dec : DecidableEq ι] {α : ι → Type*}
+theorem DFinsupp.sum_inner {ι : Type*} [DecidableEq ι] {α : ι → Type*}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.sum f, x⟫ = l.sum fun i a => ⟪f i a, x⟫ := by
   simp (config := { contextual := true }) only [DFinsupp.sum, _root_.sum_inner, smul_eq_mul]
 #align dfinsupp.sum_inner DFinsupp.sum_inner
 
-theorem DFinsupp.inner_sum {ι : Type*} [dec : DecidableEq ι] {α : ι → Type*}
+theorem DFinsupp.inner_sum {ι : Type*} [DecidableEq ι] {α : ι → Type*}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.sum f⟫ = l.sum fun i a => ⟪x, f i a⟫ := by
   simp (config := { contextual := true }) only [DFinsupp.sum, _root_.inner_sum, smul_eq_mul]
@@ -735,7 +733,7 @@ end BasicProperties
 
 section OrthonormalSets
 
-variable {ι : Type*} [dec_ι : DecidableEq ι] (𝕜)
+variable {ι : Type*} (𝕜)
 
 /-- An orthonormal set of vectors in an `InnerProductSpace` -/
 def Orthonormal (v : ι → E) : Prop :=
@@ -746,7 +744,7 @@ variable {𝕜}
 
 /-- `if ... then ... else` characterization of an indexed set of vectors being orthonormal.  (Inner
 product equals Kronecker delta.) -/
-theorem orthonormal_iff_ite {v : ι → E} :
+theorem orthonormal_iff_ite [DecidableEq ι] {v : ι → E} :
     Orthonormal 𝕜 v ↔ ∀ i j, ⟪v i, v j⟫ = if i = j then (1 : 𝕜) else (0 : 𝕜) := by
   constructor
   · intro hv i j
@@ -766,7 +764,7 @@ theorem orthonormal_iff_ite {v : ι → E} :
 
 /-- `if ... then ... else` characterization of a set of vectors being orthonormal.  (Inner product
 equals Kronecker delta.) -/
-theorem orthonormal_subtype_iff_ite {s : Set E} :
+theorem orthonormal_subtype_iff_ite [DecidableEq E] {s : Set E} :
     Orthonormal 𝕜 (Subtype.val : s → E) ↔ ∀ v ∈ s, ∀ w ∈ s, ⟪v, w⟫ = if v = w then 1 else 0 := by
   rw [orthonormal_iff_ite]
   constructor
@@ -1961,7 +1959,7 @@ theorem orthonormal_span {ι : Type*} {v : ι → E} (hv : Orthonormal 𝕜 v) :
 
 section OrthogonalFamily
 
-variable {ι : Type*} [dec_ι : DecidableEq ι] (𝕜)
+variable {ι : Type*} (𝕜)
 
 open DirectSum
 
@@ -1991,14 +1989,14 @@ theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
   fun i j hij a b => by simp [inner_smul_left, inner_smul_right, hv.2 hij]
 #align orthonormal.orthogonal_family Orthonormal.orthogonalFamily
 
-theorem OrthogonalFamily.eq_ite {i j : ι} (v : G i) (w : G j) :
+theorem OrthogonalFamily.eq_ite [DecidableEq ι] {i j : ι} (v : G i) (w : G j) :
     ⟪V i v, V j w⟫ = ite (i = j) ⟪V i v, V j w⟫ 0 := by
   split_ifs with h
   · rfl
   · exact hV h v w
 #align orthogonal_family.eq_ite OrthogonalFamily.eq_ite
 
-theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i) :
+theorem OrthogonalFamily.inner_right_dfinsupp [DecidableEq ι] (l : ⨁ i, G i) (i : ι) (v : G i) :
     ⟪V i v, l.sum fun j => V j⟫ = ⟪v, l i⟫ :=
   calc
     ⟪V i v, l.sum fun j => V j⟫ = l.sum fun j => fun w => ⟪V i v, V j w⟫ :=
@@ -2070,7 +2068,7 @@ theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type*} {v_fa
   · exact hV hij (v_family i v) (v_family j w)
 #align orthogonal_family.orthonormal_sigma_orthonormal OrthogonalFamily.orthonormal_sigma_orthonormal
 
-theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
+theorem OrthogonalFamily.norm_sq_diff_sum [DecidableEq ι] (f : ∀ i, G i) (s₁ s₂ : Finset ι) :
     ‖(∑ i in s₁, V i (f i)) - ∑ i in s₂, V i (f i)‖ ^ 2 =
       (∑ i in s₁ \ s₂, ‖f i‖ ^ 2) + ∑ i in s₂ \ s₁, ‖f i‖ ^ 2 := by
   rw [← Finset.sum_sdiff_sub_sum_sdiff, sub_eq_add_neg, ← Finset.sum_neg_distrib]
@@ -2100,7 +2098,6 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
     (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by
   classical
-    clear dec_ι
     simp only [summable_iff_cauchySeq_finset, NormedAddCommGroup.cauchySeq_iff, Real.norm_eq_abs]
     constructor
     · intro hf ε hε
@@ -2161,7 +2158,7 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     _ = 0 := by simp only [hv, inner_zero_right]
 #align orthogonal_family.independent OrthogonalFamily.independent
 
-theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
+theorem DirectSum.IsInternal.collectedBasis_orthonormal [DecidableEq ι] {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
     (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type*}
     {v_family : ∀ i, Basis (α i) 𝕜 (V i)} (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :

Co-authored-by: adomani <adomani@gmail.com>

@@ -1783,14 +1783,14 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ := by
   refine'
-    le_antisymm ((innerSL 𝕜 x).op_norm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
+    le_antisymm ((innerSL 𝕜 x).opNorm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
   rcases eq_or_ne x 0 with (rfl | h)
   · simp
   · refine' (mul_le_mul_right (norm_pos_iff.2 h)).mp _
     calc
       ‖x‖ * ‖x‖ = ‖(⟪x, x⟫ : 𝕜)‖ := by
         rw [← sq, inner_self_eq_norm_sq_to_K, norm_pow, norm_ofReal, abs_norm]
-      _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_op_norm _
+      _ ≤ ‖innerSL 𝕜 x‖ * ‖x‖ := (innerSL 𝕜 x).le_opNorm _
 set_option linter.uppercaseLean3 false in
 #align innerSL_apply_norm innerSL_apply_norm
 
@@ -1827,8 +1827,8 @@ theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
 
 theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm f v‖ ≤ ‖f‖ * ‖v‖ := by
-  refine op_norm_le_bound _ (by positivity) fun x ↦ ?_
-  have h₁ : ‖f x‖ ≤ ‖f‖ * ‖x‖ := le_op_norm _ _
+  refine opNorm_le_bound _ (by positivity) fun x ↦ ?_
+  have h₁ : ‖f x‖ ≤ ‖f‖ * ‖x‖ := le_opNorm _ _
   have h₂ := @norm_inner_le_norm 𝕜 E' _ _ _ v (f x)
   calc
     ‖⟪v, f x⟫‖ ≤ ‖v‖ * ‖f x‖ := h₂

Of the 18 uses of singlePass, in 3 cases we can just use rw, in 4 cases it isn't needed at all.

In the other 11 cases we are always use it as simp (config := {singlePass := true}) only [X] (i.e. with just a single simp lemma), and that simp call would loop forever (usually failing with a maxRecDepth error, sometimes with heartbeats). I've left these as is.

There's also one case where there was a missing only.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -1234,8 +1234,7 @@ theorem inner_map_self_eq_zero (T : V →ₗ[ℂ] V) : (∀ x : V, ⟪T x, x⟫_
   constructor
   · intro hT
     ext x
-    simp only [LinearMap.zero_apply, ← @inner_self_eq_zero ℂ V]
-    simp (config := {singlePass := true}) only [inner_map_polarization]
+    rw [LinearMap.zero_apply, ← @inner_self_eq_zero ℂ V, inner_map_polarization]
     simp only [hT]
     norm_num
   · rintro rfl x

Rename

• Complex.equivRealProdClm → Complex.equivRealProdCLM;
  • TODO: should this one use CLE?
• Complex.reClm → Complex.reCLM;
• Complex.imClm → Complex.imCLM;
• Complex.conjLie → Complex.conjLIE;
• Complex.conjCle → Complex.conjCLE;
• Complex.ofRealLi → Complex.ofRealLI;
• Complex.ofRealClm → Complex.ofRealCLM;
• fderivInnerClm → fderivInnerCLM;
• LinearPMap.adjointDomainMkClm → LinearPMap.adjointDomainMkCLM;
• LinearPMap.adjointDomainMkClmExtend → LinearPMap.adjointDomainMkCLMExtend;
• IsROrC.reClm → IsROrC.reCLM;
• IsROrC.imClm → IsROrC.imCLM;
• IsROrC.conjLie → IsROrC.conjLIE;
• IsROrC.conjCle → IsROrC.conjCLE;
• IsROrC.ofRealLi → IsROrC.ofRealLI;
• IsROrC.ofRealClm → IsROrC.ofRealCLM;
• MeasureTheory.condexpL1Clm → MeasureTheory.condexpL1CLM;
• algebraMapClm → algebraMapCLM;
• WeakDual.CharacterSpace.toClm → WeakDual.CharacterSpace.toCLM;
• BoundedContinuousFunction.evalClm → BoundedContinuousFunction.evalCLM;
• ContinuousMap.evalClm → ContinuousMap.evalCLM;
• TrivSqZeroExt.fstClm → TrivSqZeroExt.fstClm;
• TrivSqZeroExt.sndClm → TrivSqZeroExt.sndCLM;
• TrivSqZeroExt.inlClm → TrivSqZeroExt.inlCLM;
• TrivSqZeroExt.inrClm → TrivSqZeroExt.inrCLM

and related theorems.

@@ -2289,7 +2289,7 @@ theorem ContinuousLinearMap.reApplyInnerSelf_apply (T : E →L[𝕜] E) (x : E)
 
 theorem ContinuousLinearMap.reApplyInnerSelf_continuous (T : E →L[𝕜] E) :
     Continuous T.reApplyInnerSelf :=
-  reClm.continuous.comp <| T.continuous.inner continuous_id
+  reCLM.continuous.comp <| T.continuous.inner continuous_id
 #align continuous_linear_map.re_apply_inner_self_continuous ContinuousLinearMap.reApplyInnerSelf_continuous
 
 theorem ContinuousLinearMap.reApplyInnerSelf_smul (T : E →L[𝕜] E) (x : E) {c : 𝕜} :

@@ -81,11 +81,8 @@ class Inner (𝕜 E : Type*) where
 
 export Inner (inner)
 
-/-- The inner product with values in `ℝ`. -/
-notation "⟪" x ", " y "⟫_ℝ" => @inner ℝ _ _ x y
-
-/-- The inner product with values in `ℂ`. -/
-notation "⟪" x ", " y "⟫_ℂ" => @inner ℂ _ _ x y
+/-- The inner product with values in `𝕜`. -/
+notation3:max "⟪" x ", " y "⟫_" 𝕜:max => @inner 𝕜 _ _ x y
 
 section Notations
 

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -8,7 +8,7 @@ import Mathlib.Analysis.Complex.Basic
 import Mathlib.Analysis.Convex.Uniform
 import Mathlib.Analysis.NormedSpace.Completion
 import Mathlib.Analysis.NormedSpace.BoundedLinearMaps
-import Mathlib.LinearAlgebra.BilinearForm.Orthogonal
+import Mathlib.LinearAlgebra.BilinearForm.Basic
 
 #align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
 

and rename ofReal_mul_re → re_mul_ofReal, ofReal_mul_im → im_mul_ofReal.

From LeanAPAP

@@ -388,7 +388,7 @@ attribute [local instance] toNormedAddCommGroup
 def toNormedSpace : NormedSpace 𝕜 F where
   norm_smul_le r x := by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
-    rw [IsROrC.conj_mul, ← ofReal_pow, ofReal_mul_re, sqrt_mul, ← ofReal_normSq_eq_inner_self,
+    rw [IsROrC.conj_mul, ← ofReal_pow, re_ofReal_mul, sqrt_mul, ← ofReal_normSq_eq_inner_self,
       ofReal_re]
     · simp [sqrt_normSq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
     · positivity
@@ -2201,7 +2201,7 @@ def InnerProductSpace.isROrCToReal : InnerProductSpace ℝ E :=
       simp only [inner_add_left, map_add]
     smul_left := fun x y r => by
       change re ⟪(r : 𝕜) • x, y⟫ = r * re ⟪x, y⟫
-      simp only [inner_smul_left, conj_ofReal, ofReal_mul_re] }
+      simp only [inner_smul_left, conj_ofReal, re_ofReal_mul] }
 #align inner_product_space.is_R_or_C_to_real InnerProductSpace.isROrCToReal
 
 variable {E}

@@ -1175,17 +1175,15 @@ theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ)
   have hy' : ‖y‖ ≠ 0 := norm_ne_zero_iff.2 hy
   calc
     dist ((R / ‖x‖) ^ 2 • x) ((R / ‖y‖) ^ 2 • y) =
-        sqrt (‖(R / ‖x‖) ^ 2 • x - (R / ‖y‖) ^ 2 • y‖ ^ 2) :=
-      by rw [dist_eq_norm, sqrt_sq (norm_nonneg _)]
+        sqrt (‖(R / ‖x‖) ^ 2 • x - (R / ‖y‖) ^ 2 • y‖ ^ 2) := by
+      rw [dist_eq_norm, sqrt_sq (norm_nonneg _)]
     _ = sqrt ((R ^ 2 / (‖x‖ * ‖y‖)) ^ 2 * ‖x - y‖ ^ 2) :=
-      (congr_arg sqrt <| by
+      congr_arg sqrt <| by
         field_simp [sq, norm_sub_mul_self_real, norm_smul, real_inner_smul_left, inner_smul_right,
           Real.norm_of_nonneg (mul_self_nonneg _)]
-        ring)
+        ring
     _ = R ^ 2 / (‖x‖ * ‖y‖) * dist x y := by
-      rw [sqrt_mul (sq_nonneg _), sqrt_sq (norm_nonneg _),
-        sqrt_sq (div_nonneg (sq_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _))),
-        dist_eq_norm]
+      rw [sqrt_mul, sqrt_sq, sqrt_sq, dist_eq_norm] <;> positivity
 
 #align dist_div_norm_sq_smul dist_div_norm_sq_smul
 
@@ -1529,8 +1527,7 @@ theorem norm_sub_eq_norm_add {v w : E} (h : ⟪v, w⟫ = 0) : ‖w - v‖ = ‖w
 norms, has absolute value at most 1. -/
 theorem abs_real_inner_div_norm_mul_norm_le_one (x y : F) : |⟪x, y⟫_ℝ / (‖x‖ * ‖y‖)| ≤ 1 := by
   rw [abs_div, abs_mul, abs_norm, abs_norm]
-  exact div_le_one_of_le (abs_real_inner_le_norm x y) (mul_nonneg (norm_nonneg _) (norm_nonneg _))
-  -- porting note: was `(by positivity)`
+  exact div_le_one_of_le (abs_real_inner_le_norm x y) (by positivity)
 #align abs_real_inner_div_norm_mul_norm_le_one abs_real_inner_div_norm_mul_norm_le_one
 
 /-- The inner product of a vector with a multiple of itself. -/
@@ -1589,8 +1586,8 @@ theorem norm_inner_eq_norm_tfae (x y : E) :
   tfae_have 1 → 2
   · refine' fun h => or_iff_not_imp_left.2 fun hx₀ => _
     have : ‖x‖ ^ 2 ≠ 0 := pow_ne_zero _ (norm_ne_zero_iff.2 hx₀)
-    rw [← sq_eq_sq (norm_nonneg _) (mul_nonneg (norm_nonneg _) (norm_nonneg _)), mul_pow, ←
-      mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h
+    rw [← sq_eq_sq, mul_pow, ← mul_right_inj' this, eq_comm, ← sub_eq_zero, ← mul_sub] at h <;>
+      try positivity
     simp only [@norm_sq_eq_inner 𝕜] at h
     letI : InnerProductSpace.Core 𝕜 E := InnerProductSpace.toCore
     erw [← InnerProductSpace.Core.cauchy_schwarz_aux, InnerProductSpace.Core.normSq_eq_zero,
@@ -1618,7 +1615,6 @@ theorem norm_inner_eq_norm_iff {x y : E} (hx₀ : x ≠ 0) (hy₀ : y ≠ 0) :
     _ ↔ ∃ r : 𝕜, r ≠ 0 ∧ y = r • x :=
       ⟨fun ⟨r, h⟩ => ⟨r, fun hr₀ => hy₀ <| h.symm ▸ smul_eq_zero.2 <| Or.inl hr₀, h⟩,
         fun ⟨r, _hr₀, h⟩ => ⟨r, h⟩⟩
-
 #align norm_inner_eq_norm_iff norm_inner_eq_norm_iff
 
 /-- The inner product of two vectors, divided by the product of their
@@ -1835,8 +1831,7 @@ theorem toSesqForm_apply_coe (f : E →L[𝕜] E') (x : E') : toSesqForm f x = (
 #align continuous_linear_map.to_sesq_form_apply_coe ContinuousLinearMap.toSesqForm_apply_coe
 
 theorem toSesqForm_apply_norm_le {f : E →L[𝕜] E'} {v : E'} : ‖toSesqForm f v‖ ≤ ‖f‖ * ‖v‖ := by
-  refine' op_norm_le_bound _ (mul_nonneg (norm_nonneg _) (norm_nonneg _)) _
-  intro x
+  refine op_norm_le_bound _ (by positivity) fun x ↦ ?_
   have h₁ : ‖f x‖ ≤ ‖f‖ * ‖x‖ := le_op_norm _ _
   have h₂ := @norm_inner_le_norm 𝕜 E' _ _ _ v (f x)
   calc

and other simple lemmas

From LeanAPAP

@@ -317,8 +317,7 @@ theorem cauchy_schwarz_aux (x y : F) :
   rw [← @ofReal_inj 𝕜, ofReal_normSq_eq_inner_self]
   simp only [inner_sub_sub_self, inner_smul_left, inner_smul_right, conj_ofReal, mul_sub, ←
     ofReal_normSq_eq_inner_self x, ← ofReal_normSq_eq_inner_self y]
-  rw [← mul_assoc, mul_conj, IsROrC.conj_mul, normSq_eq_def', mul_left_comm, ← inner_conj_symm y,
-    mul_conj, normSq_eq_def']
+  rw [← mul_assoc, mul_conj, IsROrC.conj_mul, mul_left_comm, ← inner_conj_symm y, mul_conj]
   push_cast
   ring
 #align inner_product_space.core.cauchy_schwarz_aux InnerProductSpace.Core.cauchy_schwarz_aux
@@ -389,9 +388,10 @@ attribute [local instance] toNormedAddCommGroup
 def toNormedSpace : NormedSpace 𝕜 F where
   norm_smul_le r x := by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
-    rw [IsROrC.conj_mul, ofReal_mul_re, sqrt_mul, ← ofReal_normSq_eq_inner_self, ofReal_re]
+    rw [IsROrC.conj_mul, ← ofReal_pow, ofReal_mul_re, sqrt_mul, ← ofReal_normSq_eq_inner_self,
+      ofReal_re]
     · simp [sqrt_normSq_eq_norm, IsROrC.sqrt_normSq_eq_norm]
-    · exact normSq_nonneg r
+    · positivity
 #align inner_product_space.core.to_normed_space InnerProductSpace.Core.toNormedSpace
 
 end InnerProductSpace.Core
@@ -1923,9 +1923,7 @@ end BesselsInequality
 /-- A field `𝕜` satisfying `IsROrC` is itself a `𝕜`-inner product space. -/
 instance IsROrC.innerProductSpace : InnerProductSpace 𝕜 𝕜 where
   inner x y := conj x * y
-  norm_sq_eq_inner x := by
-    simp only [inner]
-    rw [mul_comm, mul_conj, ofReal_re, normSq_eq_def']
+  norm_sq_eq_inner x := by simp only [inner, conj_mul, ← ofReal_pow, ofReal_re]
   conj_symm x y := by simp only [mul_comm, map_mul, starRingEnd_self_apply]
   add_left x y z := by simp only [add_mul, map_add]
   smul_left x y z := by simp only [mul_assoc, smul_eq_mul, map_mul]
@@ -2305,7 +2303,7 @@ theorem ContinuousLinearMap.reApplyInnerSelf_continuous (T : E →L[𝕜] E) :
 theorem ContinuousLinearMap.reApplyInnerSelf_smul (T : E →L[𝕜] E) (x : E) {c : 𝕜} :
     T.reApplyInnerSelf (c • x) = ‖c‖ ^ 2 * T.reApplyInnerSelf x := by
   simp only [ContinuousLinearMap.map_smul, ContinuousLinearMap.reApplyInnerSelf_apply,
-    inner_smul_left, inner_smul_right, ← mul_assoc, mul_conj, normSq_eq_def', ← smul_re,
+    inner_smul_left, inner_smul_right, ← mul_assoc, mul_conj, ← ofReal_pow, ← smul_re,
     Algebra.smul_def (‖c‖ ^ 2) ⟪T x, x⟫, algebraMap_eq_ofReal]
 #align continuous_linear_map.re_apply_inner_self_smul ContinuousLinearMap.reApplyInnerSelf_smul
 

Follow-up #9184

@@ -952,11 +952,11 @@ theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· 
 /-- Given an orthonormal set `v` of vectors in `E`, there exists a maximal orthonormal set
 containing it. -/
 theorem exists_maximal_orthonormal {s : Set E} (hs : Orthonormal 𝕜 (Subtype.val : s → E)) :
-    ∃ (w : _) (_hw : w ⊇ s), Orthonormal 𝕜 (Subtype.val : w → E) ∧
-      ∀ (u) (_hu : u ⊇ w), Orthonormal 𝕜 (Subtype.val : u → E) → u = w := by
+    ∃ w ⊇ s, Orthonormal 𝕜 (Subtype.val : w → E) ∧
+      ∀ u ⊇ w, Orthonormal 𝕜 (Subtype.val : u → E) → u = w := by
   have := zorn_subset_nonempty { b | Orthonormal 𝕜 (Subtype.val : b → E) } ?_ _ hs
-  obtain ⟨b, bi, sb, h⟩ := this
-  · refine' ⟨b, sb, bi, _⟩
+  · obtain ⟨b, bi, sb, h⟩ := this
+    refine' ⟨b, sb, bi, _⟩
     exact fun u hus hu => h u hu hus
   · refine' fun c hc cc _c0 => ⟨⋃₀ c, _, _⟩
     · exact orthonormal_sUnion_of_directed cc.directedOn fun x xc => hc xc

Performed with a regex search for ∀ (.) (.), \1 ≠ \2 →, and a few variants to catch implicit binders and explicit types.

I have deliberately avoided trying to make the analogous Set.Pairwise transformation (or any Pairwise (foo on bar) transformations) in this PR, to keep the diff small.

Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

@@ -720,7 +720,7 @@ theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ
 /-- A family of vectors is linearly independent if they are nonzero
 and orthogonal. -/
 theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type*} {v : ι → E} (hz : ∀ i, v i ≠ 0)
-    (ho : ∀ i j, i ≠ j → ⟪v i, v j⟫ = 0) : LinearIndependent 𝕜 v := by
+    (ho : Pairwise fun i j => ⟪v i, v j⟫ = 0) : LinearIndependent 𝕜 v := by
   rw [linearIndependent_iff']
   intro s g hg i hi
   have h' : g i * inner (v i) (v i) = inner (v i) (∑ j in s, g j • v j) := by
@@ -729,7 +729,7 @@ theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type*} {v : ι → E
     convert Finset.sum_eq_single (β := 𝕜) i ?_ ?_
     · rw [inner_smul_right]
     · intro j _hj hji
-      rw [inner_smul_right, ho i j hji.symm, mul_zero]
+      rw [inner_smul_right, ho hji.symm, mul_zero]
     · exact fun h => False.elim (h hi)
   simpa [hg, hz] using h'
 #align linear_independent_of_ne_zero_of_inner_eq_zero linearIndependent_of_ne_zero_of_inner_eq_zero
@@ -742,7 +742,7 @@ variable {ι : Type*} [dec_ι : DecidableEq ι] (𝕜)
 
 /-- An orthonormal set of vectors in an `InnerProductSpace` -/
 def Orthonormal (v : ι → E) : Prop :=
-  (∀ i, ‖v i‖ = 1) ∧ ∀ {i j}, i ≠ j → ⟪v i, v j⟫ = 0
+  (∀ i, ‖v i‖ = 1) ∧ Pairwise fun i j => ⟪v i, v j⟫ = 0
 #align orthonormal Orthonormal
 
 variable {𝕜}
@@ -1990,7 +1990,7 @@ we have an associated orthogonal family of one-dimensional subspaces of `E`, whi
 to be able to discuss using `ι → 𝕜` rather than `Π i : ι, span 𝕜 (v i)`. -/
 def OrthogonalFamily (G : ι → Type*) [∀ i, NormedAddCommGroup (G i)]
     [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) : Prop :=
-  ∀ ⦃i j⦄, i ≠ j → ∀ v : G i, ∀ w : G j, ⟪V i v, V j w⟫ = 0
+  Pairwise fun i j => ∀ v : G i, ∀ w : G j, ⟪V i v, V j w⟫ = 0
 #align orthogonal_family OrthogonalFamily
 
 variable {𝕜}

The names for lemmas about monotonicity of (a ^ ·) and (· ^ n) were a mess. This PR tidies up everything related by following the naming convention for (a * ·) and (· * b). Namely, (a ^ ·) is pow_right and (· ^ n) is pow_left in lemma names. All lemma renames follow the corresponding multiplication lemma names closely.

Renames

Algebra.GroupPower.Order

• pow_mono → pow_right_mono
• pow_le_pow → pow_le_pow_right
• pow_le_pow_of_le_left → pow_le_pow_left
• pow_lt_pow_of_lt_left → pow_lt_pow_left
• strictMonoOn_pow → pow_left_strictMonoOn
• pow_strictMono_right → pow_right_strictMono
• pow_lt_pow → pow_lt_pow_right
• pow_lt_pow_iff → pow_lt_pow_iff_right
• pow_le_pow_iff → pow_le_pow_iff_right
• self_lt_pow → lt_self_pow
• strictAnti_pow → pow_right_strictAnti
• pow_lt_pow_iff_of_lt_one → pow_lt_pow_iff_right_of_lt_one
• pow_lt_pow_of_lt_one → pow_lt_pow_right_of_lt_one
• lt_of_pow_lt_pow → lt_of_pow_lt_pow_left
• le_of_pow_le_pow → le_of_pow_le_pow_left
• pow_lt_pow₀ → pow_lt_pow_right₀

Algebra.GroupPower.CovariantClass

• pow_le_pow_of_le_left' → pow_le_pow_left'
• nsmul_le_nsmul_of_le_right → nsmul_le_nsmul_right
• pow_lt_pow' → pow_lt_pow_right'
• nsmul_lt_nsmul → nsmul_lt_nsmul_left
• pow_strictMono_left → pow_right_strictMono'
• nsmul_strictMono_right → nsmul_left_strictMono
• StrictMono.pow_right' → StrictMono.pow_const
• StrictMono.nsmul_left → StrictMono.const_nsmul
• pow_strictMono_right' → pow_left_strictMono
• nsmul_strictMono_left → nsmul_right_strictMono
• Monotone.pow_right → Monotone.pow_const
• Monotone.nsmul_left → Monotone.const_nsmul
• lt_of_pow_lt_pow' → lt_of_pow_lt_pow_left'
• lt_of_nsmul_lt_nsmul → lt_of_nsmul_lt_nsmul_right
• pow_le_pow' → pow_le_pow_right'
• nsmul_le_nsmul → nsmul_le_nsmul_left
• pow_le_pow_of_le_one' → pow_le_pow_right_of_le_one'
• nsmul_le_nsmul_of_nonpos → nsmul_le_nsmul_left_of_nonpos
• le_of_pow_le_pow' → le_of_pow_le_pow_left'
• le_of_nsmul_le_nsmul' → le_of_nsmul_le_nsmul_right'
• pow_le_pow_iff' → pow_le_pow_iff_right'
• nsmul_le_nsmul_iff → nsmul_le_nsmul_iff_left
• pow_lt_pow_iff' → pow_lt_pow_iff_right'
• nsmul_lt_nsmul_iff → nsmul_lt_nsmul_iff_left

Data.Nat.Pow

• Nat.pow_lt_pow_of_lt_left → Nat.pow_lt_pow_left
• Nat.pow_le_iff_le_left → Nat.pow_le_pow_iff_left
• Nat.pow_lt_iff_lt_left → Nat.pow_lt_pow_iff_left

Lemmas added

• pow_le_pow_iff_left
• pow_lt_pow_iff_left
• pow_right_injective
• pow_right_inj
• Nat.pow_le_pow_left to have the correct name since Nat.pow_le_pow_of_le_left is in Std.
• Nat.pow_le_pow_right to have the correct name since Nat.pow_le_pow_of_le_right is in Std.

Lemmas removed

• self_le_pow was a duplicate of le_self_pow.
• Nat.pow_lt_pow_of_lt_right is defeq to pow_lt_pow_right.
• Nat.pow_right_strictMono is defeq to pow_right_strictMono.
• Nat.pow_le_iff_le_right is defeq to pow_le_pow_iff_right.
• Nat.pow_lt_iff_lt_right is defeq to pow_lt_pow_iff_right.

Other changes

• A bunch of proofs have been golfed.
• Some lemma assumptions have been turned from 0 < n or 1 ≤ n to n ≠ 0.
• A few Nat lemmas have been protected.
• One docstring has been fixed.

@@ -1200,7 +1200,7 @@ instance (priority := 100) InnerProductSpace.toUniformConvexSpace : UniformConve
     refine' le_sqrt_of_sq_le _
     rw [sq, eq_sub_iff_add_eq.2 (parallelogram_law_with_norm ℝ x y), ← sq ‖x - y‖, hx, hy]
     ring_nf
-    exact sub_le_sub_left (pow_le_pow_of_le_left hε.le hxy _) 4⟩
+    exact sub_le_sub_left (pow_le_pow_left hε.le hxy _) 4⟩
 #align inner_product_space.to_uniform_convex_space InnerProductSpace.toUniformConvexSpace
 
 section Complex

Also renamed BilinearForm.restrictSymm to BilinearForm.IsSymm.restrict.

@@ -8,7 +8,7 @@ import Mathlib.Analysis.Complex.Basic
 import Mathlib.Analysis.Convex.Uniform
 import Mathlib.Analysis.NormedSpace.Completion
 import Mathlib.Analysis.NormedSpace.BoundedLinearMaps
-import Mathlib.LinearAlgebra.BilinearForm
+import Mathlib.LinearAlgebra.BilinearForm.Orthogonal
 
 #align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
 

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -1892,7 +1892,7 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
   rw [@norm_sub_sq 𝕜, sub_add]
   classical
     simp only [@InnerProductSpace.norm_sq_eq_inner 𝕜, _root_.inner_sum, _root_.sum_inner]
-    simp only [inner_smul_right, two_mul, inner_smul_left, inner_conj_symm, ←mul_assoc, h₂,
+    simp only [inner_smul_right, two_mul, inner_smul_left, inner_conj_symm, ← mul_assoc, h₂,
       add_sub_cancel, sub_right_inj]
     simp only [map_sum, ← inner_conj_symm x, ← h₃]
 

We still have the exact_mod_cast tactic, used in a few places, which somehow (?) works a little bit harder to prevent the expected type influencing the elaboration of the term. I would like to get to the bottom of this, and it will be easier once the only usages of exact_mod_cast are the ones that don't work using the term elaborator by itself.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2055,7 +2055,7 @@ theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
     ‖∑ i in s, V i (l i)‖ ^ 2 = ∑ i in s, ‖l i‖ ^ 2 := by
   have : ((‖∑ i in s, V i (l i)‖ : ℝ) : 𝕜) ^ 2 = ∑ i in s, ((‖l i‖ : ℝ) : 𝕜) ^ 2 := by
     simp only [← inner_self_eq_norm_sq_to_K, hV.inner_sum]
-  exact_mod_cast this
+  exact mod_cast this
 #align orthogonal_family.norm_sum OrthogonalFamily.norm_sum
 
 /-- The composition of an orthogonal family of subspaces with an injective function is also an

Due to recent changes in core we can reduce or remove many set_option maxHeartbeats statements.

I have tried to be careful to not leave anything too close to the line, so don't be surprised if some of these can still be reduced further.

This reduces us from 96 maxHeartbeats statements to 44. (There are 10 false positives in meta or testing code.)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -1822,7 +1822,6 @@ namespace ContinuousLinearMap
 variable {E' : Type*} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 -- Note: odd and expensive build behavior is explicitly turned off using `noncomputable`
-set_option synthInstance.maxHeartbeats 40000 in
 /-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `fun x y ↦ ⟪x, A y⟫`, given
 as a continuous linear map. -/
 noncomputable def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=

And fix some names in comments where this revealed issues

@@ -1167,7 +1167,7 @@ theorem inner_eq_sum_norm_sq_div_four (x y : E) :
 #align inner_eq_sum_norm_sq_div_four inner_eq_sum_norm_sq_div_four
 
 /-- Formula for the distance between the images of two nonzero points under an inversion with center
-zero. See also `euclidean_geometry.dist_inversion_inversion` for inversions around a general
+zero. See also `EuclideanGeometry.dist_inversion_inversion` for inversions around a general
 point. -/
 theorem dist_div_norm_sq_smul {x y : F} (hx : x ≠ 0) (hy : y ≠ 0) (R : ℝ) :
     dist ((R / ‖x‖) ^ 2 • x) ((R / ‖y‖) ^ 2 • y) = R ^ 2 / (‖x‖ * ‖y‖) * dist x y :=

Also _root_.map_smul when in the neighbourhood.

@@ -522,7 +522,7 @@ theorem sum_inner {ι : Type*} (s : Finset ι) (f : ι → E) (x : E) :
 /-- An inner product with a sum on the right. -/
 theorem inner_sum {ι : Type*} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪x, ∑ i in s, f i⟫ = ∑ i in s, ⟪x, f i⟫ :=
-  (LinearMap.flip sesqFormOfInner x).map_sum
+  map_sum (LinearMap.flip sesqFormOfInner x) _ _
 #align inner_sum inner_sum
 
 /-- An inner product with a sum on the left, `Finsupp` version. -/

@@ -2317,8 +2317,8 @@ namespace UniformSpace.Completion
 open UniformSpace Function
 
 instance toInner {𝕜' E' : Type*} [TopologicalSpace 𝕜'] [UniformSpace E'] [Inner 𝕜' E'] :
-    Inner 𝕜' (Completion E')
-    where inner := curry <| (denseInducing_coe.prod denseInducing_coe).extend (uncurry inner)
+    Inner 𝕜' (Completion E') where
+  inner := curry <| (denseInducing_coe.prod denseInducing_coe).extend (uncurry inner)
 
 @[simp]
 theorem inner_coe (a b : E) : inner (a : Completion E) (b : Completion E) = (inner a b : 𝕜) :=

@@ -362,7 +362,6 @@ theorem norm_inner_le_norm (x y : F) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
       ‖⟪x, y⟫‖ * ‖⟪x, y⟫‖ = ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ := by rw [norm_inner_symm]
       _ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := (inner_mul_inner_self_le x y)
       _ = ‖x‖ * ‖y‖ * (‖x‖ * ‖y‖) := by simp only [inner_self_eq_norm_mul_norm]; ring
-
 #align inner_product_space.core.norm_inner_le_norm InnerProductSpace.Core.norm_inner_le_norm
 
 /-- Normed group structure constructed from an `InnerProductSpace.Core` structure -/
@@ -1716,7 +1715,6 @@ theorem inner_lt_norm_mul_iff_real {x y : F} : ⟪x, y⟫_ℝ < ‖x‖ * ‖y
     ⟪x, y⟫_ℝ < ‖x‖ * ‖y‖ ↔ ⟪x, y⟫_ℝ ≠ ‖x‖ * ‖y‖ :=
       ⟨ne_of_lt, lt_of_le_of_ne (real_inner_le_norm _ _)⟩
     _ ↔ ‖y‖ • x ≠ ‖x‖ • y := not_congr inner_eq_norm_mul_iff_real
-
 #align inner_lt_norm_mul_iff_real inner_lt_norm_mul_iff_real
 
 /-- If the inner product of two unit vectors is strictly less than `1`, then the two vectors are
@@ -1725,6 +1723,15 @@ theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖
     ⟪x, y⟫_ℝ < 1 ↔ x ≠ y := by convert inner_lt_norm_mul_iff_real (F := F) <;> simp [hx, hy]
 #align inner_lt_one_iff_real_of_norm_one inner_lt_one_iff_real_of_norm_one
 
+/-- The sphere of radius `r = ‖y‖` is tangent to the plane `⟪x, y⟫ = ‖y‖ ^ 2` at `x = y`. -/
+theorem eq_of_norm_le_re_inner_eq_norm_sq {x y : E} (hle : ‖x‖ ≤ ‖y‖) (h : re ⟪x, y⟫ = ‖y‖ ^ 2) :
+    x = y := by
+  suffices H : re ⟪x - y, x - y⟫ ≤ 0
+  · rwa [inner_self_nonpos, sub_eq_zero] at H
+  have H₁ : ‖x‖ ^ 2 ≤ ‖y‖ ^ 2 := by gcongr
+  have H₂ : re ⟪y, x⟫ = ‖y‖ ^ 2 := by rwa [← inner_conj_symm, conj_re]
+  simpa [inner_sub_left, inner_sub_right, ← norm_sq_eq_inner, h, H₂] using H₁
+
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
 theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type*} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}

norm_num was passing the wrong syntax node to elabSimpArgs when elaborating, which essentially had the effect of ignoring all arguments it was passed, i.e. norm_num [add_comm] would not try to commute addition in the simp step. The fix itself is very simple (though not obvious to debug!), probably using TSyntax more would help avoid such issues in future.

Due to this bug many norm_num [blah] became rw [blah]; norm_num or similar, sometimes with porting notes, sometimes not, we fix these porting notes and other regressions during the port also.

Interestingly cancel_denoms uses norm_num [<- mul_assoc] internally, so cancel_denoms also got stronger with this change.

@@ -269,8 +269,7 @@ theorem inner_self_ne_zero {x : F} : ⟪x, x⟫ ≠ 0 ↔ x ≠ 0 :=
 #align inner_product_space.core.inner_self_ne_zero InnerProductSpace.Core.inner_self_ne_zero
 
 theorem inner_self_ofReal_re (x : F) : (re ⟪x, x⟫ : 𝕜) = ⟪x, x⟫ := by
-  rw [ext_iff, inner_self_im]
-  norm_num
+  norm_num [ext_iff, inner_self_im]
 set_option linter.uppercaseLean3 false in
 #align inner_product_space.core.inner_self_re_to_K InnerProductSpace.Core.inner_self_ofReal_re
 

@@ -1031,7 +1031,7 @@ theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y
   rw [← inner_conj_symm, conj_re]
 #align norm_add_sq norm_add_sq
 
-alias norm_add_sq ← norm_add_pow_two
+alias norm_add_pow_two := norm_add_sq
 #align norm_add_pow_two norm_add_pow_two
 
 /-- Expand the square -/
@@ -1040,7 +1040,7 @@ theorem norm_add_sq_real (x y : F) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * ⟪x, y
   simpa using h
 #align norm_add_sq_real norm_add_sq_real
 
-alias norm_add_sq_real ← norm_add_pow_two_real
+alias norm_add_pow_two_real := norm_add_sq_real
 #align norm_add_pow_two_real norm_add_pow_two_real
 
 /-- Expand the square -/
@@ -1063,7 +1063,7 @@ theorem norm_sub_sq (x y : E) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * re ⟪x, y
     sub_eq_add_neg]
 #align norm_sub_sq norm_sub_sq
 
-alias norm_sub_sq ← norm_sub_pow_two
+alias norm_sub_pow_two := norm_sub_sq
 #align norm_sub_pow_two norm_sub_pow_two
 
 /-- Expand the square -/
@@ -1071,7 +1071,7 @@ theorem norm_sub_sq_real (x y : F) : ‖x - y‖ ^ 2 = ‖x‖ ^ 2 - 2 * ⟪x, y
   @norm_sub_sq ℝ _ _ _ _ _ _
 #align norm_sub_sq_real norm_sub_sq_real
 
-alias norm_sub_sq_real ← norm_sub_pow_two_real
+alias norm_sub_pow_two_real := norm_sub_sq_real
 #align norm_sub_pow_two_real norm_sub_pow_two_real
 
 /-- Expand the square -/

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

@@ -245,7 +245,7 @@ theorem inner_smul_right (x y : F) {r : 𝕜} : ⟪x, r • y⟫ = r * ⟪x, y
 
 theorem inner_zero_left (x : F) : ⟪0, x⟫ = 0 := by
   rw [← zero_smul 𝕜 (0 : F), inner_smul_left];
-    simp only [MulZeroClass.zero_mul, RingHom.map_zero]
+    simp only [zero_mul, RingHom.map_zero]
 #align inner_product_space.core.inner_zero_left InnerProductSpace.Core.inner_zero_left
 
 theorem inner_zero_right (x : F) : ⟪x, 0⟫ = 0 := by
@@ -330,7 +330,7 @@ showing the core is a normed group.
 -/
 theorem inner_mul_inner_self_le (x y : F) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖ ≤ re ⟪x, x⟫ * re ⟪y, y⟫ := by
   rcases eq_or_ne x 0 with (rfl | hx)
-  · simpa only [inner_zero_left, map_zero, MulZeroClass.zero_mul, norm_zero] using le_rfl
+  · simpa only [inner_zero_left, map_zero, zero_mul, norm_zero] using le_rfl
   · have hx' : 0 < normSqF x := inner_self_nonneg.lt_of_ne' (mt normSq_eq_zero.1 hx)
     rw [← sub_nonneg, ← mul_nonneg_iff_right_nonneg_of_pos hx', ← normSq, ← normSq,
       norm_inner_symm y, ← sq, ← cauchy_schwarz_aux]
@@ -555,7 +555,7 @@ theorem DFinsupp.inner_sum {ι : Type*} [dec : DecidableEq ι] {α : ι → Type
 
 @[simp]
 theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
-  rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, MulZeroClass.zero_mul]
+  rw [← zero_smul 𝕜 (0 : E), inner_smul_left, RingHom.map_zero, zero_mul]
 #align inner_zero_left inner_zero_left
 
 theorem inner_re_zero_left (x : E) : re ⟪0, x⟫ = 0 := by
@@ -731,7 +731,7 @@ theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type*} {v : ι → E
     convert Finset.sum_eq_single (β := 𝕜) i ?_ ?_
     · rw [inner_smul_right]
     · intro j _hj hji
-      rw [inner_smul_right, ho i j hji.symm, MulZeroClass.mul_zero]
+      rw [inner_smul_right, ho i j hji.symm, mul_zero]
     · exact fun h => False.elim (h hi)
   simpa [hg, hz] using h'
 #align linear_independent_of_ne_zero_of_inner_eq_zero linearIndependent_of_ne_zero_of_inner_eq_zero
@@ -1736,8 +1736,8 @@ theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type*} {s₁ : Finset ι
   simp_rw [sum_inner, inner_sum, real_inner_smul_left, real_inner_smul_right,
     real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, ← div_sub_div_same,
     ← div_add_div_same, mul_sub_left_distrib, left_distrib, Finset.sum_sub_distrib,
-    Finset.sum_add_distrib, ← Finset.mul_sum, ← Finset.sum_mul, h₁, h₂, MulZeroClass.zero_mul,
-    MulZeroClass.mul_zero, Finset.sum_const_zero, zero_add, zero_sub, Finset.mul_sum, neg_div,
+    Finset.sum_add_distrib, ← Finset.mul_sum, ← Finset.sum_mul, h₁, h₂, zero_mul,
+    mul_zero, Finset.sum_const_zero, zero_add, zero_sub, Finset.mul_sum, neg_div,
     Finset.sum_div, mul_div_assoc, mul_assoc]
 #align inner_sum_smul_sum_smul_of_sum_eq_zero inner_sum_smul_sum_smul_of_sum_eq_zero
 

@@ -1796,8 +1796,6 @@ theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ := by
 set_option linter.uppercaseLean3 false in
 #align innerSL_apply_norm innerSL_apply_norm
 
-set_option synthInstance.maxHeartbeats 80000 in
--- porting note: I'm not sure why the maxHeartbeats needed to be so high here
 /-- The inner product as a continuous sesquilinear map, with the two arguments flipped. -/
 def innerSLFlip : E →L[𝕜] E →L⋆[𝕜] 𝕜 :=
   @ContinuousLinearMap.flipₗᵢ' 𝕜 𝕜 𝕜 E E 𝕜 _ _ _ _ _ _ _ _ _ (RingHom.id 𝕜) (starRingEnd 𝕜) _ _
@@ -1818,8 +1816,7 @@ namespace ContinuousLinearMap
 variable {E' : Type*} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 -- Note: odd and expensive build behavior is explicitly turned off using `noncomputable`
-set_option maxHeartbeats 500000 in
-set_option synthInstance.maxHeartbeats 100000 in
+set_option synthInstance.maxHeartbeats 40000 in
 /-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `fun x y ↦ ⟪x, A y⟫`, given
 as a continuous linear map. -/
 noncomputable def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=

Explicitly marks ContinuousLinearMap.toSesqForm as noncomputable to prevent runaway build process which does produces nothing.

@@ -1817,11 +1817,12 @@ namespace ContinuousLinearMap
 
 variable {E' : Type*} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
+-- Note: odd and expensive build behavior is explicitly turned off using `noncomputable`
 set_option maxHeartbeats 500000 in
 set_option synthInstance.maxHeartbeats 100000 in
 /-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `fun x y ↦ ⟪x, A y⟫`, given
 as a continuous linear map. -/
-def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=
+noncomputable def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=
   (ContinuousLinearMap.flipₗᵢ' E E' 𝕜 (starRingEnd 𝕜) (RingHom.id 𝕜)).toContinuousLinearEquiv ∘L
     ContinuousLinearMap.compSL E E' (E' →L⋆[𝕜] 𝕜) (RingHom.id 𝕜) (RingHom.id 𝕜) (innerSLFlip 𝕜)
 #align continuous_linear_map.to_sesq_form ContinuousLinearMap.toSesqForm

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -71,10 +71,10 @@ open IsROrC Real Filter
 
 open BigOperators Topology ComplexConjugate
 
-variable {𝕜 E F : Type _} [IsROrC 𝕜]
+variable {𝕜 E F : Type*} [IsROrC 𝕜]
 
 /-- Syntactic typeclass for types endowed with an inner product -/
-class Inner (𝕜 E : Type _) where
+class Inner (𝕜 E : Type*) where
   /-- The inner product function. -/
   inner : E → E → 𝕜
 #align has_inner Inner
@@ -104,7 +104,7 @@ spaces.
 
 To construct a norm from an inner product, see `InnerProductSpace.ofCore`.
 -/
-class InnerProductSpace (𝕜 : Type _) (E : Type _) [IsROrC 𝕜] [NormedAddCommGroup E] extends
+class InnerProductSpace (𝕜 : Type*) (E : Type*) [IsROrC 𝕜] [NormedAddCommGroup E] extends
   NormedSpace 𝕜 E, Inner 𝕜 E where
   /-- The inner product induces the norm. -/
   norm_sq_eq_inner : ∀ x : E, ‖x‖ ^ 2 = re (inner x x)
@@ -138,7 +138,7 @@ instance defined on it, otherwise this will create a second non-defeq norm insta
 /-- A structure requiring that a scalar product is positive definite and symmetric, from which one
 can construct an `InnerProductSpace` instance in `InnerProductSpace.ofCore`. -/
 -- @[nolint HasNonemptyInstance] porting note: I don't think we have this linter anymore
-structure InnerProductSpace.Core (𝕜 : Type _) (F : Type _) [IsROrC 𝕜] [AddCommGroup F]
+structure InnerProductSpace.Core (𝕜 : Type*) (F : Type*) [IsROrC 𝕜] [AddCommGroup F]
   [Module 𝕜 F] extends Inner 𝕜 F where
   /-- The inner product is *hermitian*, taking the `conj` swaps the arguments. -/
   conj_symm : ∀ x y, conj (inner y x) = inner x y
@@ -516,38 +516,38 @@ def bilinFormOfRealInner : BilinForm ℝ F where
 #align bilin_form_of_real_inner bilinFormOfRealInner
 
 /-- An inner product with a sum on the left. -/
-theorem sum_inner {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
+theorem sum_inner {ι : Type*} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪∑ i in s, f i, x⟫ = ∑ i in s, ⟪f i, x⟫ :=
   map_sum (sesqFormOfInner (𝕜 := 𝕜) (E := E) x) _ _
 #align sum_inner sum_inner
 
 /-- An inner product with a sum on the right. -/
-theorem inner_sum {ι : Type _} (s : Finset ι) (f : ι → E) (x : E) :
+theorem inner_sum {ι : Type*} (s : Finset ι) (f : ι → E) (x : E) :
     ⟪x, ∑ i in s, f i⟫ = ∑ i in s, ⟪x, f i⟫ :=
   (LinearMap.flip sesqFormOfInner x).map_sum
 #align inner_sum inner_sum
 
 /-- An inner product with a sum on the left, `Finsupp` version. -/
-theorem Finsupp.sum_inner {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
+theorem Finsupp.sum_inner {ι : Type*} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪l.sum fun (i : ι) (a : 𝕜) => a • v i, x⟫ = l.sum fun (i : ι) (a : 𝕜) => conj a • ⟪v i, x⟫ := by
   convert _root_.sum_inner (𝕜 := 𝕜) l.support (fun a => l a • v a) x
   simp only [inner_smul_left, Finsupp.sum, smul_eq_mul]
 #align finsupp.sum_inner Finsupp.sum_inner
 
 /-- An inner product with a sum on the right, `Finsupp` version. -/
-theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
+theorem Finsupp.inner_sum {ι : Type*} (l : ι →₀ 𝕜) (v : ι → E) (x : E) :
     ⟪x, l.sum fun (i : ι) (a : 𝕜) => a • v i⟫ = l.sum fun (i : ι) (a : 𝕜) => a • ⟪x, v i⟫ := by
   convert _root_.inner_sum (𝕜 := 𝕜) l.support (fun a => l a • v a) x
   simp only [inner_smul_right, Finsupp.sum, smul_eq_mul]
 #align finsupp.inner_sum Finsupp.inner_sum
 
-theorem DFinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
+theorem DFinsupp.sum_inner {ι : Type*} [dec : DecidableEq ι] {α : ι → Type*}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.sum f, x⟫ = l.sum fun i a => ⟪f i a, x⟫ := by
   simp (config := { contextual := true }) only [DFinsupp.sum, _root_.sum_inner, smul_eq_mul]
 #align dfinsupp.sum_inner DFinsupp.sum_inner
 
-theorem DFinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
+theorem DFinsupp.inner_sum {ι : Type*} [dec : DecidableEq ι] {α : ι → Type*}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.sum f⟫ = l.sum fun i a => ⟪x, f i a⟫ := by
   simp (config := { contextual := true }) only [DFinsupp.sum, _root_.inner_sum, smul_eq_mul]
@@ -721,7 +721,7 @@ theorem real_inner_mul_inner_self_le (x y : F) : ⟪x, y⟫_ℝ * ⟪x, y⟫_ℝ
 
 /-- A family of vectors is linearly independent if they are nonzero
 and orthogonal. -/
-theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type _} {v : ι → E} (hz : ∀ i, v i ≠ 0)
+theorem linearIndependent_of_ne_zero_of_inner_eq_zero {ι : Type*} {v : ι → E} (hz : ∀ i, v i ≠ 0)
     (ho : ∀ i j, i ≠ j → ⟪v i, v j⟫ = 0) : LinearIndependent 𝕜 v := by
   rw [linearIndependent_iff']
   intro s g hg i hi
@@ -740,7 +740,7 @@ end BasicProperties
 
 section OrthonormalSets
 
-variable {ι : Type _} [dec_ι : DecidableEq ι] (𝕜)
+variable {ι : Type*} [dec_ι : DecidableEq ι] (𝕜)
 
 /-- An orthonormal set of vectors in an `InnerProductSpace` -/
 def Orthonormal (v : ι → E) : Prop :=
@@ -873,7 +873,7 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
 
 /-- A subfamily of an orthonormal family (i.e., a composition with an injective map) is an
 orthonormal family. -/
-theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
+theorem Orthonormal.comp {ι' : Type*} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
     (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
   classical!
   rw [orthonormal_iff_ite] at hv ⊢
@@ -933,7 +933,7 @@ theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E)
 
 variable {𝕜 E}
 
-theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
+theorem orthonormal_iUnion_of_directed {η : Type*} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) :
     Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) := by
   classical!
@@ -1207,7 +1207,7 @@ instance (priority := 100) InnerProductSpace.toUniformConvexSpace : UniformConve
 
 section Complex
 
-variable {V : Type _} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
+variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
 
 /-- A complex polarization identity, with a linear map
 -/
@@ -1263,11 +1263,11 @@ end Complex
 
 section
 
-variable {ι : Type _} {ι' : Type _} {ι'' : Type _}
+variable {ι : Type*} {ι' : Type*} {ι'' : Type*}
 
-variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
+variable {E' : Type*} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
-variable {E'' : Type _} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
+variable {E'' : Type*} [NormedAddCommGroup E''] [InnerProductSpace 𝕜 E'']
 
 /-- A linear isometry preserves the inner product. -/
 @[simp]
@@ -1401,7 +1401,7 @@ theorem Orthonormal.equiv_toLinearEquiv {v : Basis ι 𝕜 E} (hv : Orthonormal
 #align orthonormal.equiv_to_linear_equiv Orthonormal.equiv_toLinearEquiv
 
 @[simp]
-theorem Orthonormal.equiv_apply {ι' : Type _} {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
+theorem Orthonormal.equiv_apply {ι' : Type*} {v : Basis ι 𝕜 E} (hv : Orthonormal 𝕜 v)
     {v' : Basis ι' 𝕜 E'} (hv' : Orthonormal 𝕜 v') (e : ι ≃ ι') (i : ι) :
     hv.equiv hv' e (v i) = v' (e i) :=
   Basis.equiv_apply _ _ _ _
@@ -1728,8 +1728,8 @@ theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖
 
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
-theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
-    (v₁ : ι₁ → F) (h₁ : ∑ i in s₁, w₁ i = 0) {ι₂ : Type _} {s₂ : Finset ι₂} {w₂ : ι₂ → ℝ}
+theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type*} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
+    (v₁ : ι₁ → F) (h₁ : ∑ i in s₁, w₁ i = 0) {ι₂ : Type*} {s₂ : Finset ι₂} {w₂ : ι₂ → ℝ}
     (v₂ : ι₂ → F) (h₂ : ∑ i in s₂, w₂ i = 0) :
     ⟪∑ i₁ in s₁, w₁ i₁ • v₁ i₁, ∑ i₂ in s₂, w₂ i₂ • v₂ i₂⟫_ℝ =
       (-∑ i₁ in s₁, ∑ i₂ in s₂, w₁ i₁ * w₂ i₂ * (‖v₁ i₁ - v₂ i₂‖ * ‖v₁ i₁ - v₂ i₂‖)) / 2 := by
@@ -1815,7 +1815,7 @@ variable {𝕜}
 
 namespace ContinuousLinearMap
 
-variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
+variable {E' : Type*} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 set_option maxHeartbeats 500000 in
 set_option synthInstance.maxHeartbeats 100000 in
@@ -1871,7 +1871,7 @@ end Norm
 
 section BesselsInequality
 
-variable {ι : Type _} (x : E) {v : ι → E}
+variable {ι : Type*} (x : E) {v : ι → E}
 
 /-- Bessel's inequality for finite sums. -/
 theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜 v) :
@@ -1952,12 +1952,12 @@ theorem Submodule.coe_inner (W : Submodule 𝕜 E) (x y : W) : ⟪x, y⟫ = ⟪(
   rfl
 #align submodule.coe_inner Submodule.coe_inner
 
-theorem Orthonormal.codRestrict {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
+theorem Orthonormal.codRestrict {ι : Type*} {v : ι → E} (hv : Orthonormal 𝕜 v) (s : Submodule 𝕜 E)
     (hvs : ∀ i, v i ∈ s) : @Orthonormal 𝕜 s _ _ _ ι (Set.codRestrict v s hvs) :=
   s.subtypeₗᵢ.orthonormal_comp_iff.mp hv
 #align orthonormal.cod_restrict Orthonormal.codRestrict
 
-theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) :
+theorem orthonormal_span {ι : Type*} {v : ι → E} (hv : Orthonormal 𝕜 v) :
     @Orthonormal 𝕜 (Submodule.span 𝕜 (Set.range v)) _ _ _ ι fun i : ι =>
       ⟨v i, Submodule.subset_span (Set.mem_range_self i)⟩ :=
   hv.codRestrict (Submodule.span 𝕜 (Set.range v)) fun i =>
@@ -1969,7 +1969,7 @@ theorem orthonormal_span {ι : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v)
 
 section OrthogonalFamily
 
-variable {ι : Type _} [dec_ι : DecidableEq ι] (𝕜)
+variable {ι : Type*} [dec_ι : DecidableEq ι] (𝕜)
 
 open DirectSum
 
@@ -1985,13 +1985,13 @@ product space structure on each of the submodules is important -- for example, w
 their Hilbert sum (`PiLp V 2`).  For example, given an orthonormal set of vectors `v : ι → E`,
 we have an associated orthogonal family of one-dimensional subspaces of `E`, which it is convenient
 to be able to discuss using `ι → 𝕜` rather than `Π i : ι, span 𝕜 (v i)`. -/
-def OrthogonalFamily (G : ι → Type _) [∀ i, NormedAddCommGroup (G i)]
+def OrthogonalFamily (G : ι → Type*) [∀ i, NormedAddCommGroup (G i)]
     [∀ i, InnerProductSpace 𝕜 (G i)] (V : ∀ i, G i →ₗᵢ[𝕜] E) : Prop :=
   ∀ ⦃i j⦄, i ≠ j → ∀ v : G i, ∀ w : G j, ⟪V i v, V j w⟫ = 0
 #align orthogonal_family OrthogonalFamily
 
 variable {𝕜}
-variable {G : ι → Type _} [∀ i, NormedAddCommGroup (G i)] [∀ i, InnerProductSpace 𝕜 (G i)]
+variable {G : ι → Type*} [∀ i, NormedAddCommGroup (G i)] [∀ i, InnerProductSpace 𝕜 (G i)]
   {V : ∀ i, G i →ₗᵢ[𝕜] E} (hV : OrthogonalFamily 𝕜 G V) [dec_V : ∀ (i) (x : G i), Decidable (x ≠ 0)]
 
 theorem Orthonormal.orthogonalFamily {v : ι → E} (hv : Orthonormal 𝕜 v) :
@@ -2057,12 +2057,12 @@ theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
 
 /-- The composition of an orthogonal family of subspaces with an injective function is also an
 orthogonal family. -/
-theorem OrthogonalFamily.comp {γ : Type _} {f : γ → ι} (hf : Function.Injective f) :
+theorem OrthogonalFamily.comp {γ : Type*} {f : γ → ι} (hf : Function.Injective f) :
     OrthogonalFamily 𝕜 (fun g => G (f g)) fun g => V (f g) :=
   fun _i _j hij v w => hV (hf.ne hij) v w
 #align orthogonal_family.comp OrthogonalFamily.comp
 
-theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type _} {v_family : ∀ i, α i → G i}
+theorem OrthogonalFamily.orthonormal_sigma_orthonormal {α : ι → Type*} {v_family : ∀ i, α i → G i}
     (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 fun a : Σi, α i => V a.1 (v_family a.1 a.2) := by
   constructor
@@ -2171,7 +2171,7 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
 
 theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ)
-    (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type _}
+    (hV_sum : DirectSum.IsInternal fun i => V i) {α : ι → Type*}
     {v_family : ∀ i, Basis (α i) 𝕜 (V i)} (hv_family : ∀ i, Orthonormal 𝕜 (v_family i)) :
     Orthonormal 𝕜 (hV_sum.collectedBasis v_family) := by
   simpa only [hV_sum.collectedBasis_coe] using hV.orthonormal_sigma_orthonormal hv_family
@@ -2181,7 +2181,7 @@ end OrthogonalFamily
 
 section IsROrCToReal
 
-variable {G : Type _}
+variable {G : Type*}
 
 variable (𝕜 E)
 
@@ -2252,7 +2252,7 @@ theorem continuous_inner : Continuous fun p : E × E => ⟪p.1, p.2⟫ :=
   isBoundedBilinearMap_inner.continuous
 #align continuous_inner continuous_inner
 
-variable {α : Type _}
+variable {α : Type*}
 
 theorem Filter.Tendsto.inner {f g : α → E} {l : Filter α} {x y : E} (hf : Tendsto f l (𝓝 x))
     (hg : Tendsto g l (𝓝 y)) : Tendsto (fun t => ⟪f t, g t⟫) l (𝓝 ⟪x, y⟫) :=
@@ -2312,7 +2312,7 @@ namespace UniformSpace.Completion
 
 open UniformSpace Function
 
-instance toInner {𝕜' E' : Type _} [TopologicalSpace 𝕜'] [UniformSpace E'] [Inner 𝕜' E'] :
+instance toInner {𝕜' E' : Type*} [TopologicalSpace 𝕜'] [UniformSpace E'] [Inner 𝕜' E'] :
     Inner 𝕜' (Completion E')
     where inner := curry <| (denseInducing_coe.prod denseInducing_coe).extend (uncurry inner)
 
@@ -2337,7 +2337,7 @@ protected theorem continuous_inner :
   exact (denseInducing_toCompl E).extend_Z_bilin (denseInducing_toCompl E) this
 #align uniform_space.completion.continuous_inner UniformSpace.Completion.continuous_inner
 
-protected theorem Continuous.inner {α : Type _} [TopologicalSpace α] {f g : α → Completion E}
+protected theorem Continuous.inner {α : Type*} [TopologicalSpace α] {f g : α → Completion E}
     (hf : Continuous f) (hg : Continuous g) : Continuous (fun x : α => inner (f x) (g x) : α → 𝕜) :=
   UniformSpace.Completion.continuous_inner.comp (hf.prod_mk hg : _)
 #align uniform_space.completion.continuous.inner UniformSpace.Completion.Continuous.inner

@@ -34,7 +34,7 @@ product structure on `n → 𝕜` for `𝕜 = ℝ` or `ℂ`, see `EuclideanSpace
   properties, most notably the Cauchy-Schwarz inequality. Here `𝕜` is understood to be either `ℝ`
   or `ℂ`, through the `IsROrC` typeclass.
 - We show that the inner product is continuous, `continuous_inner`, and bundle it as the
-  the continuous sesquilinear map `innerSL` (see also `innerₛₗ` for the non-continuous version).
+  continuous sesquilinear map `innerSL` (see also `innerₛₗ` for the non-continuous version).
 - We define `Orthonormal`, a predicate on a function `v : ι → E`, and prove the existence of a
   maximal orthonormal set, `exists_maximal_orthonormal`.  Bessel's inequality,
   `Orthonormal.tsum_inner_products_le`, states that given an orthonormal set `v` and a vector `x`,
@@ -1976,7 +1976,7 @@ open DirectSum
 /-- An indexed family of mutually-orthogonal subspaces of an inner product space `E`.
 
 The simple way to express this concept would be as a condition on `V : ι → Submodule 𝕜 E`.  We
-We instead implement it as a condition on a family of inner product spaces each equipped with an
+instead implement it as a condition on a family of inner product spaces each equipped with an
 isometric embedding into `E`, thus making it a property of morphisms rather than subobjects.
 The connection to the subobject spelling is shown in `orthogonalFamily_iff_pairwise`.
 

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,11 +2,6 @@
 Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module analysis.inner_product_space.basic
-! leanprover-community/mathlib commit 3f655f5297b030a87d641ad4e825af8d9679eb0b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.DirectSum.Module
 import Mathlib.Analysis.Complex.Basic
@@ -15,6 +10,8 @@ import Mathlib.Analysis.NormedSpace.Completion
 import Mathlib.Analysis.NormedSpace.BoundedLinearMaps
 import Mathlib.LinearAlgebra.BilinearForm
 
+#align_import analysis.inner_product_space.basic from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
+
 /-!
 # Inner product space
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -61,8 +61,8 @@ in the second.
 inner product space, Hilbert space, norm
 
 ## References
-*  [Clément & Martin, *The Lax-Milgram Theorem. A detailed proof to be formalized in Coq*]
-*  [Clément & Martin, *A Coq formal proof of the Lax–Milgram theorem*]
+* [Clément & Martin, *The Lax-Milgram Theorem. A detailed proof to be formalized in Coq*]
+* [Clément & Martin, *A Coq formal proof of the Lax–Milgram theorem*]
 
 The Coq code is available at the following address: <http://www.lri.fr/~sboldo/elfic/index.html>
 -/
@@ -1132,21 +1132,21 @@ theorem parallelogram_law_with_nnnorm (x y : E) :
 
 variable {𝕜}
 
-/-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
+/-- Polarization identity: The real part of the inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x‖ * ‖x‖ - ‖y‖ * ‖y‖) / 2 := by
   rw [@norm_add_mul_self 𝕜]
   ring
 #align re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two
 
-/-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
+/-- Polarization identity: The real part of the inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two (x y : E) :
     re ⟪x, y⟫ = (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖ - ‖x - y‖ * ‖x - y‖) / 2 := by
   rw [@norm_sub_mul_self 𝕜]
   ring
 #align re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two
 
-/-- Polarization identity: The real part of the  inner product, in terms of the norm. -/
+/-- Polarization identity: The real part of the inner product, in terms of the norm. -/
 theorem re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four (x y : E) :
     re ⟪x, y⟫ = (‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4 := by
   rw [@norm_add_mul_self 𝕜, @norm_sub_mul_self 𝕜]

See #4354

@@ -544,17 +544,17 @@ theorem Finsupp.inner_sum {ι : Type _} (l : ι →₀ 𝕜) (v : ι → E) (x :
   simp only [inner_smul_right, Finsupp.sum, smul_eq_mul]
 #align finsupp.inner_sum Finsupp.inner_sum
 
-theorem Dfinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
+theorem DFinsupp.sum_inner {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪l.sum f, x⟫ = l.sum fun i a => ⟪f i a, x⟫ := by
-  simp (config := { contextual := true }) only [Dfinsupp.sum, _root_.sum_inner, smul_eq_mul]
-#align dfinsupp.sum_inner Dfinsupp.sum_inner
+  simp (config := { contextual := true }) only [DFinsupp.sum, _root_.sum_inner, smul_eq_mul]
+#align dfinsupp.sum_inner DFinsupp.sum_inner
 
-theorem Dfinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
+theorem DFinsupp.inner_sum {ι : Type _} [dec : DecidableEq ι] {α : ι → Type _}
     [∀ i, AddZeroClass (α i)] [∀ (i) (x : α i), Decidable (x ≠ 0)] (f : ∀ i, α i → E)
     (l : Π₀ i, α i) (x : E) : ⟪x, l.sum f⟫ = l.sum fun i a => ⟪x, f i a⟫ := by
-  simp (config := { contextual := true }) only [Dfinsupp.sum, _root_.inner_sum, smul_eq_mul]
-#align dfinsupp.inner_sum Dfinsupp.inner_sum
+  simp (config := { contextual := true }) only [DFinsupp.sum, _root_.inner_sum, smul_eq_mul]
+#align dfinsupp.inner_sum DFinsupp.inner_sum
 
 @[simp]
 theorem inner_zero_left (x : E) : ⟪0, x⟫ = 0 := by
@@ -2013,12 +2013,12 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
     ⟪V i v, l.sum fun j => V j⟫ = ⟪v, l i⟫ :=
   calc
     ⟪V i v, l.sum fun j => V j⟫ = l.sum fun j => fun w => ⟪V i v, V j w⟫ :=
-      Dfinsupp.inner_sum (fun j => V j) l (V i v)
+      DFinsupp.inner_sum (fun j => V j) l (V i v)
     _ = l.sum fun j => fun w => ite (i = j) ⟪V i v, V j w⟫ 0 :=
       (congr_arg l.sum <| funext fun j => funext <| hV.eq_ite v)
     _ = ⟪v, l i⟫ := by
-      simp only [Dfinsupp.sum, Submodule.coe_inner, Finset.sum_ite_eq, ite_eq_left_iff,
-        Dfinsupp.mem_support_toFun]
+      simp only [DFinsupp.sum, Submodule.coe_inner, Finset.sum_ite_eq, ite_eq_left_iff,
+        DFinsupp.mem_support_toFun]
       split_ifs with h
       · simp only [LinearIsometry.inner_map_map]
       · simp only [of_not_not h, inner_zero_right]
@@ -2166,8 +2166,8 @@ theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
   ext i
   suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
   calc
-    ⟪(v i : E), v i⟫ = ⟪(v i : E), Dfinsupp.lsum ℕ (fun i => (V i).subtype) v⟫ := by
-      simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
+    ⟪(v i : E), v i⟫ = ⟪(v i : E), DFinsupp.lsum ℕ (fun i => (V i).subtype) v⟫ := by
+      simpa only [DFinsupp.sumAddHom_apply, DFinsupp.lsum_apply_apply] using
         (hV.inner_right_dfinsupp v i (v i)).symm
     _ = 0 := by simp only [hv, inner_zero_right]
 #align orthogonal_family.independent OrthogonalFamily.independent

@@ -1572,7 +1572,7 @@ theorem abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul {x : F
 itself, divided by the product of their norms, has value 1. -/
 theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : ℝ} (hx : x ≠ 0)
     (hr : 0 < r) : ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = 1 := by
-  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (|r|),
+  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ |r|,
     mul_assoc, abs_of_nonneg hr.le, div_self]
   exact mul_ne_zero hr.ne' (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul
@@ -1581,7 +1581,7 @@ theorem real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul {x : F} {r : 
 itself, divided by the product of their norms, has value -1. -/
 theorem real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul {x : F} {r : ℝ} (hx : x ≠ 0)
     (hr : r < 0) : ⟪x, r • x⟫_ℝ / (‖x‖ * ‖r • x‖) = -1 := by
-  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ (|r|),
+  rw [real_inner_smul_self_right, norm_smul, Real.norm_eq_abs, ← mul_assoc ‖x‖, mul_comm _ |r|,
     mul_assoc, abs_of_neg hr, neg_mul, div_neg_eq_neg_div, div_self]
   exact mul_ne_zero hr.ne (mul_self_ne_zero.2 (norm_ne_zero_iff.2 hx))
 #align real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul

• Also remove most superfluous parentheses around big operators (∑, ∏ and variants).
• roughly the used regex: ([^a-zA-Zα-ωΑ-Ω'𝓝ℳ₀𝕂ₛ)]) \(([∑∏][^()∑∏]*,[^()∑∏:]*)\) ([⊂⊆=<≤]) replaced by $1 $2 $3

@@ -1732,8 +1732,8 @@ theorem inner_lt_one_iff_real_of_norm_one {x y : F} (hx : ‖x‖ = 1) (hy : ‖
 /-- The inner product of two weighted sums, where the weights in each
 sum add to 0, in terms of the norms of pairwise differences. -/
 theorem inner_sum_smul_sum_smul_of_sum_eq_zero {ι₁ : Type _} {s₁ : Finset ι₁} {w₁ : ι₁ → ℝ}
-    (v₁ : ι₁ → F) (h₁ : (∑ i in s₁, w₁ i) = 0) {ι₂ : Type _} {s₂ : Finset ι₂} {w₂ : ι₂ → ℝ}
-    (v₂ : ι₂ → F) (h₂ : (∑ i in s₂, w₂ i) = 0) :
+    (v₁ : ι₁ → F) (h₁ : ∑ i in s₁, w₁ i = 0) {ι₂ : Type _} {s₂ : Finset ι₂} {w₂ : ι₂ → ℝ}
+    (v₂ : ι₂ → F) (h₂ : ∑ i in s₂, w₂ i = 0) :
     ⟪∑ i₁ in s₁, w₁ i₁ • v₁ i₁, ∑ i₂ in s₂, w₂ i₂ • v₂ i₂⟫_ℝ =
       (-∑ i₁ in s₁, ∑ i₂ in s₂, w₁ i₁ * w₂ i₂ * (‖v₁ i₁ - v₂ i₂‖ * ‖v₁ i₁ - v₂ i₂‖)) / 2 := by
   simp_rw [sum_inner, inner_sum, real_inner_smul_left, real_inner_smul_right,
@@ -1878,7 +1878,7 @@ variable {ι : Type _} (x : E) {v : ι → E}
 
 /-- Bessel's inequality for finite sums. -/
 theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜 v) :
-    (∑ i in s, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 := by
+    ∑ i in s, ‖⟪v i, x⟫‖ ^ 2 ≤ ‖x‖ ^ 2 := by
   have h₂ :
     (∑ i in s, ∑ j in s, ⟪v i, x⟫ * ⟪x, v j⟫ * ⟪v j, v i⟫) = (∑ k in s, ⟪v k, x⟫ * ⟪x, v k⟫ : 𝕜) :=
     by classical exact hv.inner_left_right_finset
@@ -1900,7 +1900,7 @@ theorem Orthonormal.sum_inner_products_le {s : Finset ι} (hv : Orthonormal 𝕜
 
 /-- Bessel's inequality. -/
 theorem Orthonormal.tsum_inner_products_le (hv : Orthonormal 𝕜 v) :
-    (∑' i, ‖⟪v i, x⟫‖ ^ 2) ≤ ‖x‖ ^ 2 := by
+    ∑' i, ‖⟪v i, x⟫‖ ^ 2 ≤ ‖x‖ ^ 2 := by
   refine' tsum_le_of_sum_le' _ fun s => hv.sum_inner_products_le x
   simp only [norm_nonneg, pow_nonneg]
 #align orthonormal.tsum_inner_products_le Orthonormal.tsum_inner_products_le
@@ -2136,13 +2136,13 @@ theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : 
       refine' (abs_lt_of_sq_lt_sq' _ (le_of_lt hε)).2
       have has : a ≤ s₁ ⊓ s₂ := le_inf hs₁ hs₂
       rw [hV.norm_sq_diff_sum]
-      have Hs₁ : (∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2) < ε ^ 2 / 2 := by
+      have Hs₁ : ∑ x : ι in s₁ \ s₂, ‖f x‖ ^ 2 < ε ^ 2 / 2 := by
         convert H _ hs₁ _ has
         have : s₁ ⊓ s₂ ⊆ s₁ := Finset.inter_subset_left _ _
         rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']
         · simp
         · exact fun i => sq_nonneg _
-      have Hs₂ : (∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2) < ε ^ 2 / 2 := by
+      have Hs₂ : ∑ x : ι in s₂ \ s₁, ‖f x‖ ^ 2 < ε ^ 2 / 2 := by
         convert H _ hs₂ _ has
         have : s₁ ⊓ s₂ ⊆ s₂ := Finset.inter_subset_right _ _
         rw [← Finset.sum_sdiff this, add_tsub_cancel_right, Finset.abs_sum_of_nonneg']

Found with git grep -n "λ [a-zA-Z_ ]*,"

@@ -1822,7 +1822,7 @@ variable {E' : Type _} [NormedAddCommGroup E'] [InnerProductSpace 𝕜 E']
 
 set_option maxHeartbeats 500000 in
 set_option synthInstance.maxHeartbeats 100000 in
-/-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `λ x y, ⟪x, A y⟫`, given
+/-- Given `f : E →L[𝕜] E'`, construct the continuous sesquilinear form `fun x y ↦ ⟪x, A y⟫`, given
 as a continuous linear map. -/
 def toSesqForm : (E →L[𝕜] E') →L[𝕜] E' →L⋆[𝕜] E →L[𝕜] 𝕜 :=
   (ContinuousLinearMap.flipₗᵢ' E E' 𝕜 (starRingEnd 𝕜) (RingHom.id 𝕜)).toContinuousLinearEquiv ∘L
@@ -2107,7 +2107,7 @@ theorem OrthogonalFamily.norm_sq_diff_sum (f : ∀ i, G i) (s₁ s₂ : Finset 
 #align orthogonal_family.norm_sq_diff_sum OrthogonalFamily.norm_sq_diff_sum
 
 /-- A family `f` of mutually-orthogonal elements of `E` is summable, if and only if
-`(λ i, ‖f i‖ ^ 2)` is summable. -/
+`(fun i ↦ ‖f i‖ ^ 2)` is summable. -/
 theorem OrthogonalFamily.summable_iff_norm_sq_summable [CompleteSpace E] (f : ∀ i, G i) :
     (Summable fun i => V i (f i)) ↔ Summable fun i => ‖f i‖ ^ 2 := by
   classical

All of these are doc fixes

@@ -340,7 +340,7 @@ theorem inner_mul_inner_self_le (x y : F) : ‖⟪x, y⟫‖ * ‖⟪y, x⟫‖
     exact inner_self_nonneg
 #align inner_product_space.core.inner_mul_inner_self_le InnerProductSpace.Core.inner_mul_inner_self_le
 
-/-- Norm constructed from a `InnerProductSpace.Core` structure, defined to be the square root
+/-- Norm constructed from an `InnerProductSpace.Core` structure, defined to be the square root
 of the scalar product. -/
 def toNorm : Norm F where norm x := sqrt (re ⟪x, x⟫)
 #align inner_product_space.core.to_has_norm InnerProductSpace.Core.toNorm
@@ -390,7 +390,7 @@ def toNormedAddCommGroup : NormedAddCommGroup F :=
 
 attribute [local instance] toNormedAddCommGroup
 
-/-- Normed space structure constructed from a `InnerProductSpace.Core` structure -/
+/-- Normed space structure constructed from an `InnerProductSpace.Core` structure -/
 def toNormedSpace : NormedSpace 𝕜 F where
   norm_smul_le r x := by
     rw [norm_eq_sqrt_inner, inner_smul_left, inner_smul_right, ← mul_assoc]
@@ -405,7 +405,7 @@ section
 
 attribute [local instance] InnerProductSpace.Core.toNormedAddCommGroup
 
-/-- Given a `InnerProductSpace.Core` structure on a space, one can use it to turn
+/-- Given an `InnerProductSpace.Core` structure on a space, one can use it to turn
 the space into an inner product space. The `NormedAddCommGroup` structure is expected
 to already be defined with `InnerProductSpace.ofCore.toNormedAddCommGroup`. -/
 def InnerProductSpace.ofCore [AddCommGroup F] [Module 𝕜 F] (c : InnerProductSpace.Core 𝕜 F) :

These are all doc fixes

@@ -1985,7 +1985,7 @@ The connection to the subobject spelling is shown in `orthogonalFamily_iff_pairw
 
 This definition is less lightweight, but allows for better definitional properties when the inner
 product space structure on each of the submodules is important -- for example, when considering
-their Hilbert sum (`Pilp V 2`).  For example, given an orthonormal set of vectors `v : ι → E`,
+their Hilbert sum (`PiLp V 2`).  For example, given an orthonormal set of vectors `v : ι → E`,
 we have an associated orthogonal family of one-dimensional subspaces of `E`, which it is convenient
 to be able to discuss using `ι → 𝕜` rather than `Π i : ι, span 𝕜 (v i)`. -/
 def OrthogonalFamily (G : ι → Type _) [∀ i, NormedAddCommGroup (G i)]

Co-authored-by: Johan Commelin <johan@commelin.net>

@@ -1023,7 +1023,8 @@ theorem real_inner_self_eq_norm_sq (x : F) : ⟪x, x⟫_ℝ = ‖x‖ ^ 2 := by
   rw [pow_two, real_inner_self_eq_norm_mul_norm]
 #align real_inner_self_eq_norm_sq real_inner_self_eq_norm_sq
 
-variable (𝕜)
+-- Porting note: this was present in mathlib3 but seemingly didn't do anything.
+-- variable (𝕜)
 
 /-- Expand the square -/
 theorem norm_add_sq (x y : E) : ‖x + y‖ ^ 2 = ‖x‖ ^ 2 + 2 * re ⟪x, y⟫ + ‖y‖ ^ 2 := by
@@ -1049,7 +1050,7 @@ alias norm_add_sq_real ← norm_add_pow_two_real
 theorem norm_add_mul_self (x y : E) :
     ‖x + y‖ * ‖x + y‖ = ‖x‖ * ‖x‖ + 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ := by
   repeat' rw [← sq (M := ℝ)]
-  exact norm_add_sq _ _ _
+  exact norm_add_sq _ _
 #align norm_add_mul_self norm_add_mul_self
 
 /-- Expand the square -/
@@ -1080,7 +1081,7 @@ alias norm_sub_sq_real ← norm_sub_pow_two_real
 theorem norm_sub_mul_self (x y : E) :
     ‖x - y‖ * ‖x - y‖ = ‖x‖ * ‖x‖ - 2 * re ⟪x, y⟫ + ‖y‖ * ‖y‖ := by
   repeat' rw [← sq (M := ℝ)]
-  exact norm_sub_sq _ _ _
+  exact norm_sub_sq _ _
 #align norm_sub_mul_self norm_sub_mul_self
 
 /-- Expand the square -/
@@ -1098,16 +1099,16 @@ theorem norm_inner_le_norm (x y : E) : ‖⟪x, y⟫‖ ≤ ‖x‖ * ‖y‖ :=
 #align norm_inner_le_norm norm_inner_le_norm
 
 theorem nnnorm_inner_le_nnnorm (x y : E) : ‖⟪x, y⟫‖₊ ≤ ‖x‖₊ * ‖y‖₊ :=
-  norm_inner_le_norm 𝕜 x y
+  norm_inner_le_norm x y
 #align nnnorm_inner_le_nnnorm nnnorm_inner_le_nnnorm
 
 theorem re_inner_le_norm (x y : E) : re ⟪x, y⟫ ≤ ‖x‖ * ‖y‖ :=
-  le_trans (re_le_norm (inner x y)) (norm_inner_le_norm 𝕜 x y)
+  le_trans (re_le_norm (inner x y)) (norm_inner_le_norm x y)
 #align re_inner_le_norm re_inner_le_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
 theorem abs_real_inner_le_norm (x y : F) : |⟪x, y⟫_ℝ| ≤ ‖x‖ * ‖y‖ :=
-  (Real.norm_eq_abs _).ge.trans (norm_inner_le_norm ℝ x y)
+  (Real.norm_eq_abs _).ge.trans (norm_inner_le_norm x y)
 #align abs_real_inner_le_norm abs_real_inner_le_norm
 
 /-- Cauchy–Schwarz inequality with norm -/
@@ -1115,6 +1116,8 @@ theorem real_inner_le_norm (x y : F) : ⟪x, y⟫_ℝ ≤ ‖x‖ * ‖y‖ :=
   le_trans (le_abs_self _) (abs_real_inner_le_norm _ _)
 #align real_inner_le_norm real_inner_le_norm
 
+variable (𝕜)
+
 theorem parallelogram_law_with_norm (x y : E) :
     ‖x + y‖ * ‖x + y‖ + ‖x - y‖ * ‖x - y‖ = 2 * (‖x‖ * ‖x‖ + ‖y‖ * ‖y‖) := by
   simp only [← @inner_self_eq_norm_mul_norm 𝕜]
@@ -1785,7 +1788,7 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem innerSL_apply_norm (x : E) : ‖innerSL 𝕜 x‖ = ‖x‖ := by
   refine'
-    le_antisymm ((innerSL 𝕜 x).op_norm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _ _) _
+    le_antisymm ((innerSL 𝕜 x).op_norm_le_bound (norm_nonneg _) fun y => norm_inner_le_norm _ _) _
   rcases eq_or_ne x 0 with (rfl | h)
   · simp
   · refine' (mul_le_mul_right (norm_pos_iff.2 h)).mp _
@@ -1864,7 +1867,7 @@ theorem _root_.isBoundedBilinearMap_inner [NormedSpace ℝ E] :
     bound :=
       ⟨1, zero_lt_one, fun x y => by
         rw [one_mul]
-        exact norm_inner_le_norm _ x y⟩ }
+        exact norm_inner_le_norm x y⟩ }
 #align is_bounded_bilinear_map_inner isBoundedBilinearMap_inner
 
 end Norm

Some theorems in Analysis.InnerProductSpace.Basic, such as Orthonormal.inner_right_finsupp, accidentally gained a new DecidableEq hypothesis during the port. This removes the hypothesis by using classical! instead of classical in their proofs.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Komyyy <pol_tta@outlook.jp>

@@ -790,14 +790,16 @@ theorem orthonormal_subtype_iff_ite {s : Set E} :
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι →₀ 𝕜) (i : ι) :
     ⟪v i, Finsupp.total ι E 𝕜 v l⟫ = l i := by
-  classical simpa [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv] using Eq.symm
+  classical!
+  simpa [Finsupp.total_apply, Finsupp.inner_sum, orthonormal_iff_ite.mp hv] using Eq.symm
 #align orthonormal.inner_right_finsupp Orthonormal.inner_right_finsupp
 
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_right_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
     {i : ι} (hi : i ∈ s) : ⟪v i, ∑ i in s, l i • v i⟫ = l i := by
-  classical simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
+  classical!
+  simp [inner_sum, inner_smul_right, orthonormal_iff_ite.mp hv, hi]
 #align orthonormal.inner_right_sum Orthonormal.inner_right_sum
 
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
@@ -817,8 +819,9 @@ theorem Orthonormal.inner_left_finsupp {v : ι → E} (hv : Orthonormal 𝕜 v)
 vectors picks out the coefficient of that vector. -/
 theorem Orthonormal.inner_left_sum {v : ι → E} (hv : Orthonormal 𝕜 v) (l : ι → 𝕜) {s : Finset ι}
     {i : ι} (hi : i ∈ s) : ⟪∑ i in s, l i • v i, v i⟫ = conj (l i) := by
-  classical simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
-      Finset.sum_ite_eq', if_true]
+  classical!
+  simp only [sum_inner, inner_smul_left, orthonormal_iff_ite.mp hv, hi, mul_boole,
+    Finset.sum_ite_eq', if_true]
 #align orthonormal.inner_left_sum Orthonormal.inner_left_sum
 
 /-- The inner product of a linear combination of a set of orthonormal vectors with one of those
@@ -857,7 +860,8 @@ sum of the weights.
 -/
 theorem Orthonormal.inner_left_right_finset {s : Finset ι} {v : ι → E} (hv : Orthonormal 𝕜 v)
     {a : ι → ι → 𝕜} : (∑ i in s, ∑ j in s, a i j • ⟪v j, v i⟫) = ∑ k in s, a k k := by
-  classical simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
+  classical!
+  simp [orthonormal_iff_ite.mp hv, Finset.sum_ite_of_true]
 #align orthonormal.inner_left_right_finset Orthonormal.inner_left_right_finset
 
 /-- An orthonormal set is linearly independent. -/
@@ -874,11 +878,11 @@ theorem Orthonormal.linearIndependent {v : ι → E} (hv : Orthonormal 𝕜 v) :
 orthonormal family. -/
 theorem Orthonormal.comp {ι' : Type _} {v : ι → E} (hv : Orthonormal 𝕜 v) (f : ι' → ι)
     (hf : Function.Injective f) : Orthonormal 𝕜 (v ∘ f) := by
-  classical
-    rw [orthonormal_iff_ite] at hv⊢
-    intro i j
-    convert hv (f i) (f j) using 1
-    simp [hf.eq_iff]
+  classical!
+  rw [orthonormal_iff_ite] at hv ⊢
+  intro i j
+  convert hv (f i) (f j) using 1
+  simp [hf.eq_iff]
 #align orthonormal.comp Orthonormal.comp
 
 /-- An injective family `v : ι → E` is orthonormal if and only if `Subtype.val : (range v) → E` is
@@ -911,12 +915,13 @@ theorem Orthonormal.inner_finsupp_eq_zero {v : ι → E} (hv : Orthonormal 𝕜
 the corresponding vector in the original family or its negation. -/
 theorem Orthonormal.orthonormal_of_forall_eq_or_eq_neg {v w : ι → E} (hv : Orthonormal 𝕜 v)
     (hw : ∀ i, w i = v i ∨ w i = -v i) : Orthonormal 𝕜 w := by
-  classical
-    rw [orthonormal_iff_ite] at *
-    intro i j
-    cases' hw i with hi hi <;> cases' hw j with hj hj <;> split_ifs with h <;>
-      simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
-        neg_eq_zero] using hv i j
+  classical!
+  rw [orthonormal_iff_ite] at *
+  intro i j
+  cases' hw i with hi hi <;> cases' hw j with hj hj <;>
+    replace hv := hv i j <;> split_ifs at hv ⊢ with h <;>
+    simpa only [hi, hj, h, inner_neg_right, inner_neg_left, neg_neg, eq_self_iff_true,
+      neg_eq_zero] using hv
 #align orthonormal.orthonormal_of_forall_eq_or_eq_neg Orthonormal.orthonormal_of_forall_eq_or_eq_neg
 
 /- The material that follows, culminating in the existence of a maximal orthonormal subset, is
@@ -925,7 +930,8 @@ adapted from the corresponding development of the theory of linearly independent
 variable (𝕜 E)
 
 theorem orthonormal_empty : Orthonormal 𝕜 (fun x => x : (∅ : Set E) → E) := by
-  classical simp [orthonormal_subtype_iff_ite]
+  classical!
+  simp [orthonormal_subtype_iff_ite]
 #align orthonormal_empty orthonormal_empty
 
 variable {𝕜 E}
@@ -933,13 +939,13 @@ variable {𝕜 E}
 theorem orthonormal_iUnion_of_directed {η : Type _} {s : η → Set E} (hs : Directed (· ⊆ ·) s)
     (h : ∀ i, Orthonormal 𝕜 (fun x => x : s i → E)) :
     Orthonormal 𝕜 (fun x => x : (⋃ i, s i) → E) := by
-  classical
-    rw [orthonormal_subtype_iff_ite]
-    rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
-    obtain ⟨k, hik, hjk⟩ := hs i j
-    have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
-    rw [orthonormal_subtype_iff_ite] at h_orth
-    exact h_orth x (hik hxi) y (hjk hyj)
+  classical!
+  rw [orthonormal_subtype_iff_ite]
+  rintro x ⟨_, ⟨i, rfl⟩, hxi⟩ y ⟨_, ⟨j, rfl⟩, hyj⟩
+  obtain ⟨k, hik, hjk⟩ := hs i j
+  have h_orth : Orthonormal 𝕜 (fun x => x : s k → E) := h k
+  rw [orthonormal_subtype_iff_ite] at h_orth
+  exact h_orth x (hik hxi) y (hjk hyj)
 #align orthonormal_Union_of_directed orthonormal_iUnion_of_directed
 
 theorem orthonormal_sUnion_of_directed {s : Set (Set E)} (hs : DirectedOn (· ⊆ ·) s)
@@ -2018,28 +2024,28 @@ theorem OrthogonalFamily.inner_right_dfinsupp (l : ⨁ i, G i) (i : ι) (v : G i
 
 theorem OrthogonalFamily.inner_right_fintype [Fintype ι] (l : ∀ i, G i) (i : ι) (v : G i) :
     ⟪V i v, ∑ j : ι, V j (l j)⟫ = ⟪v, l i⟫ := by
-  classical calc
-      ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
-      _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
-        (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
-      _ = ⟪v, l i⟫ := by
-        simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
-
+  classical!
+  calc
+    ⟪V i v, ∑ j : ι, V j (l j)⟫ = ∑ j : ι, ⟪V i v, V j (l j)⟫ := by rw [inner_sum]
+    _ = ∑ j, ite (i = j) ⟪V i v, V j (l j)⟫ 0 :=
+      (congr_arg (Finset.sum Finset.univ) <| funext fun j => hV.eq_ite v (l j))
+    _ = ⟪v, l i⟫ := by
+      simp only [Finset.sum_ite_eq, Finset.mem_univ, (V i).inner_map_map, if_true]
 #align orthogonal_family.inner_right_fintype OrthogonalFamily.inner_right_fintype
 
 theorem OrthogonalFamily.inner_sum (l₁ l₂ : ∀ i, G i) (s : Finset ι) :
     ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
-  classical calc
-      ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
-        by simp only [_root_.sum_inner, _root_.inner_sum]
-      _ = ∑ j in s, ∑ i in s, ite (i = j) ⟪V i (l₁ i), V j (l₂ j)⟫ 0 := by
-        congr with i
-        congr with j
-        apply hV.eq_ite
-      _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
-        simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map,
-          imp_self, imp_true_iff]
-
+  classical!
+  calc
+    ⟪∑ i in s, V i (l₁ i), ∑ j in s, V j (l₂ j)⟫ = ∑ j in s, ∑ i in s, ⟪V i (l₁ i), V j (l₂ j)⟫ :=
+      by simp only [_root_.sum_inner, _root_.inner_sum]
+    _ = ∑ j in s, ∑ i in s, ite (i = j) ⟪V i (l₁ i), V j (l₂ j)⟫ 0 := by
+      congr with i
+      congr with j
+      apply hV.eq_ite
+    _ = ∑ i in s, ⟪l₁ i, l₂ i⟫ := by
+      simp only [Finset.sum_ite_of_true, Finset.sum_ite_eq', LinearIsometry.inner_map_map,
+        imp_self, imp_true_iff]
 #align orthogonal_family.inner_sum OrthogonalFamily.inner_sum
 
 theorem OrthogonalFamily.norm_sum (l : ∀ i, G i) (s : Finset ι) :
@@ -2148,20 +2154,19 @@ pairwise intersections of elements of the family are 0. -/
 theorem OrthogonalFamily.independent {V : ι → Submodule 𝕜 E}
     (hV : OrthogonalFamily 𝕜 (fun i => V i) fun i => (V i).subtypeₗᵢ) :
     CompleteLattice.Independent V := by
-  classical
-    apply CompleteLattice.independent_of_dfinsupp_lsum_injective
-    refine LinearMap.ker_eq_bot.mp ?_
-    rw [Submodule.eq_bot_iff]
-    intro v hv
-    rw [LinearMap.mem_ker] at hv
-    ext i
-    suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
-    calc
-      ⟪(v i : E), v i⟫ = ⟪(v i : E), Dfinsupp.lsum ℕ (fun i => (V i).subtype) v⟫ := by
-        simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
-          (hV.inner_right_dfinsupp v i (v i)).symm
-      _ = 0 := by simp only [hv, inner_zero_right]
-
+  classical!
+  apply CompleteLattice.independent_of_dfinsupp_lsum_injective
+  refine LinearMap.ker_eq_bot.mp ?_
+  rw [Submodule.eq_bot_iff]
+  intro v hv
+  rw [LinearMap.mem_ker] at hv
+  ext i
+  suffices ⟪(v i : E), v i⟫ = 0 by simpa only [inner_self_eq_zero] using this
+  calc
+    ⟪(v i : E), v i⟫ = ⟪(v i : E), Dfinsupp.lsum ℕ (fun i => (V i).subtype) v⟫ := by
+      simpa only [Dfinsupp.sumAddHom_apply, Dfinsupp.lsum_apply_apply] using
+        (hV.inner_right_dfinsupp v i (v i)).symm
+    _ = 0 := by simp only [hv, inner_zero_right]
 #align orthogonal_family.independent OrthogonalFamily.independent
 
 theorem DirectSum.IsInternal.collectedBasis_orthonormal {V : ι → Submodule 𝕜 E}

I had to add big maxHeartbeats increases into two places, but I haven't been able to improve the situation (it compiles though). This might need to be addressed before merging.

Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>